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What is the Least Common Multiple of 65478 and 65484?

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 65478 and 65484 is 714626892.

LCM(65478,65484) = 714626892

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Least Common Multiple of 65478 and 65484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65478 and 65484, than apply into the LCM equation.

GCF(65478,65484) = 6
LCM(65478,65484) = ( 65478 × 65484) / 6
LCM(65478,65484) = 4287761352 / 6
LCM(65478,65484) = 714626892

Least Common Multiple (LCM) of 65478 and 65484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65478 and 65484. First we will calculate the prime factors of 65478 and 65484.

Prime Factorization of 65478

Prime factors of 65478 are 2, 3, 7, 1559. Prime factorization of 65478 in exponential form is:

65478 = 21 × 31 × 71 × 15591

Prime Factorization of 65484

Prime factors of 65484 are 2, 3, 17, 107. Prime factorization of 65484 in exponential form is:

65484 = 22 × 32 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 65478 and 65484.

LCM(65478,65484) = 22 × 32 × 71 × 15591 × 171 × 1071
LCM(65478,65484) = 714626892