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What is the Least Common Multiple of 92107 and 92112?

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 92107 and 92112 is 8484159984.

LCM(92107,92112) = 8484159984

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Least Common Multiple of 92107 and 92112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92107 and 92112, than apply into the LCM equation.

GCF(92107,92112) = 1
LCM(92107,92112) = ( 92107 × 92112) / 1
LCM(92107,92112) = 8484159984 / 1
LCM(92107,92112) = 8484159984

Least Common Multiple (LCM) of 92107 and 92112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92107 and 92112. First we will calculate the prime factors of 92107 and 92112.

Prime Factorization of 92107

Prime factors of 92107 are 92107. Prime factorization of 92107 in exponential form is:

92107 = 921071

Prime Factorization of 92112

Prime factors of 92112 are 2, 3, 19, 101. Prime factorization of 92112 in exponential form is:

92112 = 24 × 31 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 92107 and 92112.

LCM(92107,92112) = 921071 × 24 × 31 × 191 × 1011
LCM(92107,92112) = 8484159984