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What is the Least Common Multiple of 25103 and 25113?

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 25103 and 25113 is 630411639.

LCM(25103,25113) = 630411639

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Least Common Multiple of 25103 and 25113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25103 and 25113, than apply into the LCM equation.

GCF(25103,25113) = 1
LCM(25103,25113) = ( 25103 × 25113) / 1
LCM(25103,25113) = 630411639 / 1
LCM(25103,25113) = 630411639

Least Common Multiple (LCM) of 25103 and 25113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25103 and 25113. First we will calculate the prime factors of 25103 and 25113.

Prime Factorization of 25103

Prime factors of 25103 are 13, 1931. Prime factorization of 25103 in exponential form is:

25103 = 131 × 19311

Prime Factorization of 25113

Prime factors of 25113 are 3, 11, 761. Prime factorization of 25113 in exponential form is:

25113 = 31 × 111 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 25103 and 25113.

LCM(25103,25113) = 131 × 19311 × 31 × 111 × 7611
LCM(25103,25113) = 630411639