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What is the Least Common Multiple of 91062 and 91075?

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 91062 and 91075 is 8293471650.

LCM(91062,91075) = 8293471650

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Least Common Multiple of 91062 and 91075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91062 and 91075, than apply into the LCM equation.

GCF(91062,91075) = 1
LCM(91062,91075) = ( 91062 × 91075) / 1
LCM(91062,91075) = 8293471650 / 1
LCM(91062,91075) = 8293471650

Least Common Multiple (LCM) of 91062 and 91075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91062 and 91075. First we will calculate the prime factors of 91062 and 91075.

Prime Factorization of 91062

Prime factors of 91062 are 2, 3, 5059. Prime factorization of 91062 in exponential form is:

91062 = 21 × 32 × 50591

Prime Factorization of 91075

Prime factors of 91075 are 5, 3643. Prime factorization of 91075 in exponential form is:

91075 = 52 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 91062 and 91075.

LCM(91062,91075) = 21 × 32 × 50591 × 52 × 36431
LCM(91062,91075) = 8293471650