LCM for 2 and 25

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 2 and 25?

Answer

LCM of 2 and 25 is
50

First common multiples: 50, 100, 150, …

50 is divisible by both: 50 ÷ 2 = 25, 50 ÷ 25 = 2 — and 25 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/2 by 25 and of y/25 by 2.

2 and 25 are coprime (GCF = 1), so their LCM is simply the product: 2 × 25 = 50.

2 — prime

25 = 52

Prime225Highest power
22—2
5—5252

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

LCM = 2 × 52 = 50

See Also

FAQ

What's the Least Common Multiple (LCM) of 2 and 25?

LCM of 2 and 25 is 50

How to find the LCM of 2 and 25 using prime factorization?

To find the LCM of 2 and 25, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 50.

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 2 and 25: LCM = 50, GCF = 1.