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What is the Least Common Multiple of 91578 and 91590?

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 91578 and 91590 is 1397938170.

LCM(91578,91590) = 1397938170

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Least Common Multiple of 91578 and 91590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91578 and 91590, than apply into the LCM equation.

GCF(91578,91590) = 6
LCM(91578,91590) = ( 91578 × 91590) / 6
LCM(91578,91590) = 8387629020 / 6
LCM(91578,91590) = 1397938170

Least Common Multiple (LCM) of 91578 and 91590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91578 and 91590. First we will calculate the prime factors of 91578 and 91590.

Prime Factorization of 91578

Prime factors of 91578 are 2, 3, 15263. Prime factorization of 91578 in exponential form is:

91578 = 21 × 31 × 152631

Prime Factorization of 91590

Prime factors of 91590 are 2, 3, 5, 43, 71. Prime factorization of 91590 in exponential form is:

91590 = 21 × 31 × 51 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 91578 and 91590.

LCM(91578,91590) = 21 × 31 × 152631 × 51 × 431 × 711
LCM(91578,91590) = 1397938170