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What is the Least Common Multiple of 91915 and 91924?

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 91915 and 91924 is 8449194460.

LCM(91915,91924) = 8449194460

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Least Common Multiple of 91915 and 91924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91915 and 91924, than apply into the LCM equation.

GCF(91915,91924) = 1
LCM(91915,91924) = ( 91915 × 91924) / 1
LCM(91915,91924) = 8449194460 / 1
LCM(91915,91924) = 8449194460

Least Common Multiple (LCM) of 91915 and 91924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91915 and 91924. First we will calculate the prime factors of 91915 and 91924.

Prime Factorization of 91915

Prime factors of 91915 are 5, 31, 593. Prime factorization of 91915 in exponential form is:

91915 = 51 × 311 × 5931

Prime Factorization of 91924

Prime factors of 91924 are 2, 7, 67. Prime factorization of 91924 in exponential form is:

91924 = 22 × 73 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 91915 and 91924.

LCM(91915,91924) = 51 × 311 × 5931 × 22 × 73 × 671
LCM(91915,91924) = 8449194460