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What is the Least Common Multiple of 91986 and 92004?

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 91986 and 92004 is 1410513324.

LCM(91986,92004) = 1410513324

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Least Common Multiple of 91986 and 92004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91986 and 92004, than apply into the LCM equation.

GCF(91986,92004) = 6
LCM(91986,92004) = ( 91986 × 92004) / 6
LCM(91986,92004) = 8463079944 / 6
LCM(91986,92004) = 1410513324

Least Common Multiple (LCM) of 91986 and 92004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91986 and 92004. First we will calculate the prime factors of 91986 and 92004.

Prime Factorization of 91986

Prime factors of 91986 are 2, 3, 15331. Prime factorization of 91986 in exponential form is:

91986 = 21 × 31 × 153311

Prime Factorization of 92004

Prime factors of 92004 are 2, 3, 11, 17, 41. Prime factorization of 92004 in exponential form is:

92004 = 22 × 31 × 111 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 91986 and 92004.

LCM(91986,92004) = 22 × 31 × 153311 × 111 × 171 × 411
LCM(91986,92004) = 1410513324