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What is the Least Common Multiple of 91993 and 92013?

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 91993 and 92013 is 8464551909.

LCM(91993,92013) = 8464551909

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Least Common Multiple of 91993 and 92013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91993 and 92013, than apply into the LCM equation.

GCF(91993,92013) = 1
LCM(91993,92013) = ( 91993 × 92013) / 1
LCM(91993,92013) = 8464551909 / 1
LCM(91993,92013) = 8464551909

Least Common Multiple (LCM) of 91993 and 92013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91993 and 92013. First we will calculate the prime factors of 91993 and 92013.

Prime Factorization of 91993

Prime factors of 91993 are 11, 8363. Prime factorization of 91993 in exponential form is:

91993 = 111 × 83631

Prime Factorization of 92013

Prime factors of 92013 are 3, 30671. Prime factorization of 92013 in exponential form is:

92013 = 31 × 306711

Now multiplying the highest exponent prime factors to calculate the LCM of 91993 and 92013.

LCM(91993,92013) = 111 × 83631 × 31 × 306711
LCM(91993,92013) = 8464551909