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What is the Least Common Multiple of 91910 and 91915?

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 91910 and 91915 is 1689581530.

LCM(91910,91915) = 1689581530

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Least Common Multiple of 91910 and 91915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91910 and 91915, than apply into the LCM equation.

GCF(91910,91915) = 5
LCM(91910,91915) = ( 91910 × 91915) / 5
LCM(91910,91915) = 8447907650 / 5
LCM(91910,91915) = 1689581530

Least Common Multiple (LCM) of 91910 and 91915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91910 and 91915. First we will calculate the prime factors of 91910 and 91915.

Prime Factorization of 91910

Prime factors of 91910 are 2, 5, 7, 13, 101. Prime factorization of 91910 in exponential form is:

91910 = 21 × 51 × 71 × 131 × 1011

Prime Factorization of 91915

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

91915 = 51 × 311 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 91910 and 91915.

LCM(91910,91915) = 21 × 51 × 71 × 131 × 1011 × 311 × 5931
LCM(91910,91915) = 1689581530