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What is the Least Common Multiple of 25111 and 25123?

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 25111 and 25123 is 630863653.

LCM(25111,25123) = 630863653

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Least Common Multiple of 25111 and 25123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25111 and 25123, than apply into the LCM equation.

GCF(25111,25123) = 1
LCM(25111,25123) = ( 25111 × 25123) / 1
LCM(25111,25123) = 630863653 / 1
LCM(25111,25123) = 630863653

Least Common Multiple (LCM) of 25111 and 25123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25111 and 25123. First we will calculate the prime factors of 25111 and 25123.

Prime Factorization of 25111

Prime factors of 25111 are 25111. Prime factorization of 25111 in exponential form is:

25111 = 251111

Prime Factorization of 25123

Prime factors of 25123 are 7, 37, 97. Prime factorization of 25123 in exponential form is:

25123 = 71 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 25111 and 25123.

LCM(25111,25123) = 251111 × 71 × 371 × 971
LCM(25111,25123) = 630863653