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What is the Least Common Multiple of 91697 and 91714?

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 91697 and 91714 is 8409898658.

LCM(91697,91714) = 8409898658

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Least Common Multiple of 91697 and 91714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91697 and 91714, than apply into the LCM equation.

GCF(91697,91714) = 1
LCM(91697,91714) = ( 91697 × 91714) / 1
LCM(91697,91714) = 8409898658 / 1
LCM(91697,91714) = 8409898658

Least Common Multiple (LCM) of 91697 and 91714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91697 and 91714. First we will calculate the prime factors of 91697 and 91714.

Prime Factorization of 91697

Prime factors of 91697 are 47, 1951. Prime factorization of 91697 in exponential form is:

91697 = 471 × 19511

Prime Factorization of 91714

Prime factors of 91714 are 2, 7, 6551. Prime factorization of 91714 in exponential form is:

91714 = 21 × 71 × 65511

Now multiplying the highest exponent prime factors to calculate the LCM of 91697 and 91714.

LCM(91697,91714) = 471 × 19511 × 21 × 71 × 65511
LCM(91697,91714) = 8409898658