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What is the Least Common Multiple of 91515 and 91534?

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 91515 and 91534 is 8376734010.

LCM(91515,91534) = 8376734010

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Least Common Multiple of 91515 and 91534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91515 and 91534, than apply into the LCM equation.

GCF(91515,91534) = 1
LCM(91515,91534) = ( 91515 × 91534) / 1
LCM(91515,91534) = 8376734010 / 1
LCM(91515,91534) = 8376734010

Least Common Multiple (LCM) of 91515 and 91534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91515 and 91534. First we will calculate the prime factors of 91515 and 91534.

Prime Factorization of 91515

Prime factors of 91515 are 3, 5, 6101. Prime factorization of 91515 in exponential form is:

91515 = 31 × 51 × 61011

Prime Factorization of 91534

Prime factors of 91534 are 2, 45767. Prime factorization of 91534 in exponential form is:

91534 = 21 × 457671

Now multiplying the highest exponent prime factors to calculate the LCM of 91515 and 91534.

LCM(91515,91534) = 31 × 51 × 61011 × 21 × 457671
LCM(91515,91534) = 8376734010