LCM for 10 and 99

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 10 and 99?

Answer

LCM of 10 and 99 is

990

First common multiples: 990; 1,980; 2,970; …

990 is divisible by both: 990 ÷ 10 = 99, 990 ÷ 99 = 10 — and 99 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 99 and of y/99 by 10.

10 and 99 are coprime (GCF = 1), so their LCM is simply the product: 10 × 99 = 990.

10 = 2 × 5

99 = 3² × 11

Prime	10	99	Highest power
2	2	—	2
3	—	3²	3²
5	5	—	5
11	—	11	11

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3² × 5 × 11 = 990

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
10	48	240
10	50	50
10	51	510
10	53	530
10	55	110
10	58	290
10	59	590
10	60	60
10	65	130
10	66	330
10	70	70
10	75	150
10	80	80
10	90	90
10	95	190
10	99	990
10	100	100
10	105	210
10	110	110
10	120	120
10	135	270
10	145	290
10	150	150
10	155	310
10	160	160
10	165	330
10	180	180
10	190	190
10	195	390
10	200	200

FAQ

What's the Least Common Multiple (LCM) of 10 and 99?

LCM of 10 and 99 is 990

How to find the LCM of 10 and 99 using prime factorization?

To find the LCM of 10 and 99, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 990.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 99: LCM = 990, GCF = 1.

LCM for 10 and 99

What's the Least Common Multiple (LCM) of 10 and 99?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10 and 99?

How to find the LCM of 10 and 99 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
10	48	240
10	50	50
10	51	510
10	53	530
10	55	110
10	58	290
10	59	590
10	60	60
10	65	130
10	66	330
10	70	70
10	75	150
10	80	80
10	90	90
10	95	190
10	99	990
10	100	100
10	105	210
10	110	110
10	120	120
10	135	270
10	145	290
10	150	150
10	155	310
10	160	160
10	165	330
10	180	180
10	190	190
10	195	390
10	200	200

Number 1	Number 2	LCM
10	48	240
10	50	50
10	51	510
10	53	530
10	55	110
10	58	290
10	59	590
10	60	60
10	65	130
10	66	330
10	70	70
10	75	150
10	80	80
10	90	90
10	95	190
10	99	990
10	100	100
10	105	210
10	110	110
10	120	120
10	135	270
10	145	290
10	150	150
10	155	310
10	160	160
10	165	330
10	180	180
10	190	190
10	195	390
10	200	200

Number 1	Number 2	LCM
10	48	240
10	50	50
10	51	510
10	53	530
10	55	110
10	58	290
10	59	590
10	60	60
10	65	130
10	66	330
10	70	70
10	75	150
10	80	80
10	90	90
10	95	190
10	99	990
10	100	100
10	105	210
10	110	110
10	120	120
10	135	270
10	145	290
10	150	150
10	155	310
10	160	160
10	165	330
10	180	180
10	190	190
10	195	390
10	200	200