LCM for 25 and 121

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What's the Least Common Multiple (LCM) of 25 and 121?

Answer

LCM of 25 and 121 is
3,025

First common multiples: 3,025; 6,050; 9,075; …

3,025 is divisible by both: 3,025 ÷ 25 = 121; 3,025 ÷ 121 = 25 — and 121 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 121 and of y/121 by 25.

25 and 121 are coprime (GCF = 1), so their LCM is simply the product: 25 × 121 = 3,025.

25 = 52

121 = 112

Prime25121Highest power
552—52
11—112112

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

LCM = 52 × 112 = 3,025

See Also

FAQ

What's the Least Common Multiple (LCM) of 25 and 121?

LCM of 25 and 121 is 3,025

How to find the LCM of 25 and 121 using prime factorization?

To find the LCM of 25 and 121, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,025.

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 25 and 121: LCM = 3,025, GCF = 1.