LCM for 6 and 100

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 100?

Answer

LCM of 6 and 100 is

300

First common multiples: 300, 600, 900, …

300 is divisible by both: 300 ÷ 6 = 50, 300 ÷ 100 = 3 — and 50 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 50 and of y/100 by 3.

6 = 2 × 3

100 = 2² × 5²

Prime	6	100	Highest power
2	2	2²	2²
3	3	—	3
5	—	5²	5²

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

LCM = 2² × 3 × 5² = 300

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162
6	90	90
6	100	300

FAQ

What's the Least Common Multiple (LCM) of 6 and 100?

LCM of 6 and 100 is 300

How to find the LCM of 6 and 100 using prime factorization?

To find the LCM of 6 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 6 and 100: LCM = 300, GCF = 2.

LCM for 6 and 100

What's the Least Common Multiple (LCM) of 6 and 100?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 100?

How to find the LCM of 6 and 100 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162
6	90	90
6	100	300

Number 1	Number 2	LCM
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162
6	90	90
6	100	300

Number 1	Number 2	LCM
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162
6	90	90
6	100	300