What is the LCM of 72 and 254?

What's the Least Common Multiple (LCM) of 72 and 254?

Answer

LCM of 72 and 254 is

9,144

First common multiples: 9,144; 18,288; 27,432; …

9,144 is divisible by both: 9,144 ÷ 72 = 127; 9,144 ÷ 254 = 36 — and 127 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 127 and of y/254 by 36.

72 = 2³ × 3²

254 = 2 × 127

Prime	72	254	Highest power
2	2³	2	2³
3	3²	—	3²
127	—	127	127

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

LCM = 2³ × 3² × 127 = 9,144

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What is the LCM of 72 and 254? The LCM of 72 and 254 is 9,144 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/72--254/generated.jpg

LCM Table

Number 1	Number 2	LCM
72	239	17,208
72	240	720
72	241	17,352
72	242	8,712
72	243	1,944
72	244	4,392
72	245	17,640
72	246	2,952
72	247	17,784
72	248	2,232
72	249	5,976
72	250	9,000
72	251	18,072
72	252	504
72	253	18,216
72	254	9,144
72	255	6,120
72	256	2,304
72	257	18,504
72	258	3,096
72	259	18,648
72	260	4,680
72	261	2,088
72	262	9,432
72	263	18,936
72	264	792
72	265	19,080
72	266	9,576
72	267	6,408
72	268	4,824

LCM for 72 and 254

What's the Least Common Multiple (LCM) of 72 and 254?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 254?

How to find the LCM of 72 and 254 using prime factorization?

What is the difference between LCM and GCF?

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