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What is the Least Common Multiple of 25135 and 25153?

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 25135 and 25153 is 632220655.

LCM(25135,25153) = 632220655

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Least Common Multiple of 25135 and 25153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25135 and 25153, than apply into the LCM equation.

GCF(25135,25153) = 1
LCM(25135,25153) = ( 25135 × 25153) / 1
LCM(25135,25153) = 632220655 / 1
LCM(25135,25153) = 632220655

Least Common Multiple (LCM) of 25135 and 25153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25135 and 25153. First we will calculate the prime factors of 25135 and 25153.

Prime Factorization of 25135

Prime factors of 25135 are 5, 11, 457. Prime factorization of 25135 in exponential form is:

25135 = 51 × 111 × 4571

Prime Factorization of 25153

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

25153 = 251531

Now multiplying the highest exponent prime factors to calculate the LCM of 25135 and 25153.

LCM(25135,25153) = 51 × 111 × 4571 × 251531
LCM(25135,25153) = 632220655