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What is the Least Common Multiple of 92088 and 92100?

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 92088 and 92100 is 706775400.

LCM(92088,92100) = 706775400

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Least Common Multiple of 92088 and 92100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92088 and 92100, than apply into the LCM equation.

GCF(92088,92100) = 12
LCM(92088,92100) = ( 92088 × 92100) / 12
LCM(92088,92100) = 8481304800 / 12
LCM(92088,92100) = 706775400

Least Common Multiple (LCM) of 92088 and 92100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92088 and 92100. First we will calculate the prime factors of 92088 and 92100.

Prime Factorization of 92088

Prime factors of 92088 are 2, 3, 1279. Prime factorization of 92088 in exponential form is:

92088 = 23 × 32 × 12791

Prime Factorization of 92100

Prime factors of 92100 are 2, 3, 5, 307. Prime factorization of 92100 in exponential form is:

92100 = 22 × 31 × 52 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 92088 and 92100.

LCM(92088,92100) = 23 × 32 × 12791 × 52 × 3071
LCM(92088,92100) = 706775400