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What is the Least Common Multiple of 65132 and 65147?

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 65132 and 65147 is 4243154404.

LCM(65132,65147) = 4243154404

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Least Common Multiple of 65132 and 65147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65132 and 65147, than apply into the LCM equation.

GCF(65132,65147) = 1
LCM(65132,65147) = ( 65132 × 65147) / 1
LCM(65132,65147) = 4243154404 / 1
LCM(65132,65147) = 4243154404

Least Common Multiple (LCM) of 65132 and 65147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65132 and 65147. First we will calculate the prime factors of 65132 and 65147.

Prime Factorization of 65132

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

65132 = 22 × 191 × 8571

Prime Factorization of 65147

Prime factors of 65147 are 65147. Prime factorization of 65147 in exponential form is:

65147 = 651471

Now multiplying the highest exponent prime factors to calculate the LCM of 65132 and 65147.

LCM(65132,65147) = 22 × 191 × 8571 × 651471
LCM(65132,65147) = 4243154404