LCM for 72 and 254

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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

Prime72254Highest power
223223
332—32
127—127127

— = 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

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
7223917,208
72240720
7224117,352
722428,712
722431,944
722444,392
7224517,640
722462,952
7224717,784
722482,232
722495,976
722509,000
7225118,072
72252504
7225318,216
722549,144
722556,120
722562,304
7225718,504
722583,096
7225918,648
722604,680
722612,088
722629,432
7226318,936
72264792
7226519,080
722669,576
722676,408
722684,824

FAQ

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

LCM of 72 and 254 is 9,144

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

To find the LCM of 72 and 254, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,144.

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 72 and 254: LCM = 9,144, GCF = 2.

See Also