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What is the Least Common Multiple of 91560 and 91569?

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 91560 and 91569 is 2794685880.

LCM(91560,91569) = 2794685880

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Least Common Multiple of 91560 and 91569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91560 and 91569, than apply into the LCM equation.

GCF(91560,91569) = 3
LCM(91560,91569) = ( 91560 × 91569) / 3
LCM(91560,91569) = 8384057640 / 3
LCM(91560,91569) = 2794685880

Least Common Multiple (LCM) of 91560 and 91569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91560 and 91569. First we will calculate the prime factors of 91560 and 91569.

Prime Factorization of 91560

Prime factors of 91560 are 2, 3, 5, 7, 109. Prime factorization of 91560 in exponential form is:

91560 = 23 × 31 × 51 × 71 × 1091

Prime Factorization of 91569

Prime factors of 91569 are 3, 131, 233. Prime factorization of 91569 in exponential form is:

91569 = 31 × 1311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 91560 and 91569.

LCM(91560,91569) = 23 × 31 × 51 × 71 × 1091 × 1311 × 2331
LCM(91560,91569) = 2794685880