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What is the Least Common Multiple of 25654 and 25673?

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 25673 is 658615142.

LCM(25654,25673) = 658615142

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Least Common Multiple of 25654 and 25673 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 25673, than apply into the LCM equation.

GCF(25654,25673) = 1
LCM(25654,25673) = ( 25654 × 25673) / 1
LCM(25654,25673) = 658615142 / 1
LCM(25654,25673) = 658615142

Least Common Multiple (LCM) of 25654 and 25673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25654 and 25673. First we will calculate the prime factors of 25654 and 25673.

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 25673

Prime factors of 25673 are 25673. Prime factorization of 25673 in exponential form is:

25673 = 256731

Now multiplying the highest exponent prime factors to calculate the LCM of 25654 and 25673.

LCM(25654,25673) = 21 × 1011 × 1271 × 256731
LCM(25654,25673) = 658615142