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What is the Least Common Multiple of 65562 and 65580?

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 65562 and 65580 is 716592660.

LCM(65562,65580) = 716592660

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Least Common Multiple of 65562 and 65580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65562 and 65580, than apply into the LCM equation.

GCF(65562,65580) = 6
LCM(65562,65580) = ( 65562 × 65580) / 6
LCM(65562,65580) = 4299555960 / 6
LCM(65562,65580) = 716592660

Least Common Multiple (LCM) of 65562 and 65580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65562 and 65580. First we will calculate the prime factors of 65562 and 65580.

Prime Factorization of 65562

Prime factors of 65562 are 2, 3, 7, 223. Prime factorization of 65562 in exponential form is:

65562 = 21 × 31 × 72 × 2231

Prime Factorization of 65580

Prime factors of 65580 are 2, 3, 5, 1093. Prime factorization of 65580 in exponential form is:

65580 = 22 × 31 × 51 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 65562 and 65580.

LCM(65562,65580) = 22 × 31 × 72 × 2231 × 51 × 10931
LCM(65562,65580) = 716592660