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What is the Least Common Multiple of 92874 and 92887?

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 92874 and 92887 is 8626787238.

LCM(92874,92887) = 8626787238

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Least Common Multiple of 92874 and 92887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92874 and 92887, than apply into the LCM equation.

GCF(92874,92887) = 1
LCM(92874,92887) = ( 92874 × 92887) / 1
LCM(92874,92887) = 8626787238 / 1
LCM(92874,92887) = 8626787238

Least Common Multiple (LCM) of 92874 and 92887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92874 and 92887. First we will calculate the prime factors of 92874 and 92887.

Prime Factorization of 92874

Prime factors of 92874 are 2, 3, 23, 673. Prime factorization of 92874 in exponential form is:

92874 = 21 × 31 × 231 × 6731

Prime Factorization of 92887

Prime factors of 92887 are 29, 3203. Prime factorization of 92887 in exponential form is:

92887 = 291 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 92874 and 92887.

LCM(92874,92887) = 21 × 31 × 231 × 6731 × 291 × 32031
LCM(92874,92887) = 8626787238