What is the LCM of 72 and 34?

What's the Least Common Multiple (LCM) of 72 and 34?

Answer

LCM of 72 and 34 is

1,224

First common multiples: 1,224; 2,448; 3,672; …

1,224 is divisible by both: 1,224 ÷ 72 = 17; 1,224 ÷ 34 = 36 — and 17 and 36 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 17 and of y/34 by 36.

72 = 2³ × 3²

34 = 2 × 17

Prime	72	34	Highest power
2	2³	2	2³
3	3²	—	3²
17	—	17	17

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

LCM = 2³ × 3² × 17 = 1,224

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What is the LCM of 72 and 34? The LCM of 72 and 34 is 1,224 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/72--34/generated.jpg

LCM Table

Number 1	Number 2	LCM
72	19	1,368
72	20	360
72	21	504
72	22	792
72	23	1,656
72	24	72
72	25	1,800
72	26	936
72	27	216
72	28	504
72	29	2,088
72	30	360
72	31	2,232
72	32	288
72	33	792
72	34	1,224
72	35	2,520
72	36	72
72	37	2,664
72	38	1,368
72	39	936
72	40	360
72	41	2,952
72	42	504
72	43	3,096
72	44	792
72	45	360
72	46	1,656
72	47	3,384
72	48	144

LCM for 72 and 34

What's the Least Common Multiple (LCM) of 72 and 34?

More with these numbers

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 34?

How to find the LCM of 72 and 34 using prime factorization?

What is the difference between LCM and GCF?

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