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What is the Least Common Multiple of 65113 and 65132?

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 65113 and 65132 is 223207364.

LCM(65113,65132) = 223207364

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Least Common Multiple of 65113 and 65132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65113 and 65132, than apply into the LCM equation.

GCF(65113,65132) = 19
LCM(65113,65132) = ( 65113 × 65132) / 19
LCM(65113,65132) = 4240939916 / 19
LCM(65113,65132) = 223207364

Least Common Multiple (LCM) of 65113 and 65132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65113 and 65132. First we will calculate the prime factors of 65113 and 65132.

Prime Factorization of 65113

Prime factors of 65113 are 19, 23, 149. Prime factorization of 65113 in exponential form is:

65113 = 191 × 231 × 1491

Prime Factorization of 65132

Prime factors of 65132 are 2, 19, 857. Prime factorization of 65132 in exponential form is:

65132 = 22 × 191 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 65113 and 65132.

LCM(65113,65132) = 191 × 231 × 1491 × 22 × 8571
LCM(65113,65132) = 223207364