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What is the Least Common Multiple of 25153 and 25157?

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 25153 and 25157 is 632774021.

LCM(25153,25157) = 632774021

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Least Common Multiple of 25153 and 25157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25153 and 25157, than apply into the LCM equation.

GCF(25153,25157) = 1
LCM(25153,25157) = ( 25153 × 25157) / 1
LCM(25153,25157) = 632774021 / 1
LCM(25153,25157) = 632774021

Least Common Multiple (LCM) of 25153 and 25157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25153 and 25157. First we will calculate the prime factors of 25153 and 25157.

Prime Factorization of 25153

Prime factors of 25153 are 25153. Prime factorization of 25153 in exponential form is:

25153 = 251531

Prime Factorization of 25157

Prime factors of 25157 are 11, 2287. Prime factorization of 25157 in exponential form is:

25157 = 111 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 25153 and 25157.

LCM(25153,25157) = 251531 × 111 × 22871
LCM(25153,25157) = 632774021