LCM for 54 and 250

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What's the Least Common Multiple (LCM) of 54 and 250?

Answer

LCM of 54 and 250 is
6,750

First common multiples: 6,750; 13,500; 20,250; …

6,750 is divisible by both: 6,750 ÷ 54 = 125; 6,750 ÷ 250 = 27 — and 125 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 125 and of y/250 by 27.

54 = 2 × 33

250 = 2 × 53

Prime54250Highest power
2222
333—33
5—5353

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

LCM = 2 × 33 × 53 = 6,750

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
5423512,690
542366,372
542374,266
542386,426
5423912,906
542402,160
5424113,014
542426,534
54243486
542446,588
5424513,230
542462,214
5424713,338
542486,696
542494,482
542506,750
5425113,554
54252756
5425313,662
542546,858
542554,590
542566,912
5425713,878
542582,322
5425913,986
542607,020
542611,566
542627,074
5426314,202
542642,376

FAQ

What's the Least Common Multiple (LCM) of 54 and 250?

LCM of 54 and 250 is 6,750

How to find the LCM of 54 and 250 using prime factorization?

To find the LCM of 54 and 250, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,750.

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 54 and 250: LCM = 6,750, GCF = 2.

See Also