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What is the Least Common Multiple of 65740 and 65746?

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 65740 and 65746 is 2161071020.

LCM(65740,65746) = 2161071020

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Least Common Multiple of 65740 and 65746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65740 and 65746, than apply into the LCM equation.

GCF(65740,65746) = 2
LCM(65740,65746) = ( 65740 × 65746) / 2
LCM(65740,65746) = 4322142040 / 2
LCM(65740,65746) = 2161071020

Least Common Multiple (LCM) of 65740 and 65746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65740 and 65746. First we will calculate the prime factors of 65740 and 65746.

Prime Factorization of 65740

Prime factors of 65740 are 2, 5, 19, 173. Prime factorization of 65740 in exponential form is:

65740 = 22 × 51 × 191 × 1731

Prime Factorization of 65746

Prime factors of 65746 are 2, 71, 463. Prime factorization of 65746 in exponential form is:

65746 = 21 × 711 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 65740 and 65746.

LCM(65740,65746) = 22 × 51 × 191 × 1731 × 711 × 4631
LCM(65740,65746) = 2161071020