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What is the Least Common Multiple of 25654 and 25664?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25654 and 25664 is 329192128.

LCM(25654,25664) = 329192128

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Least Common Multiple of 25654 and 25664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25654 and 25664, than apply into the LCM equation.

GCF(25654,25664) = 2
LCM(25654,25664) = ( 25654 × 25664) / 2
LCM(25654,25664) = 658384256 / 2
LCM(25654,25664) = 329192128

Least Common Multiple (LCM) of 25654 and 25664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25654 and 25664. First we will calculate the prime factors of 25654 and 25664.

Prime Factorization of 25654

Prime factors of 25654 are 2, 101, 127. Prime factorization of 25654 in exponential form is:

25654 = 21 × 1011 × 1271

Prime Factorization of 25664

Prime factors of 25664 are 2, 401. Prime factorization of 25664 in exponential form is:

25664 = 26 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 25654 and 25664.

LCM(25654,25664) = 26 × 1011 × 1271 × 4011
LCM(25654,25664) = 329192128