LCM for 3 and 46

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 3 and 46?

Answer

LCM of 3 and 46 is

138

First common multiples: 138, 276, 414, …

138 is divisible by both: 138 ÷ 3 = 46, 138 ÷ 46 = 3 — and 46 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 46 and of y/46 by 3.

3 and 46 are coprime (GCF = 1), so their LCM is simply the product: 3 × 46 = 138.

3 — prime

46 = 2 × 23

Prime	3	46	Highest power
2	—	2	2
3	3	—	3
23	—	23	23

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

LCM = 2 × 3 × 23 = 138

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

FAQ

What's the Least Common Multiple (LCM) of 3 and 46?

LCM of 3 and 46 is 138

How to find the LCM of 3 and 46 using prime factorization?

To find the LCM of 3 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 138.

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 3 and 46: LCM = 138, GCF = 1.

LCM for 3 and 46

What's the Least Common Multiple (LCM) of 3 and 46?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3 and 46?

How to find the LCM of 3 and 46 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300