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What is the Least Common Multiple of 92120 and 92128?

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 92120 and 92128 is 1060853920.

LCM(92120,92128) = 1060853920

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Least Common Multiple of 92120 and 92128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92120 and 92128, than apply into the LCM equation.

GCF(92120,92128) = 8
LCM(92120,92128) = ( 92120 × 92128) / 8
LCM(92120,92128) = 8486831360 / 8
LCM(92120,92128) = 1060853920

Least Common Multiple (LCM) of 92120 and 92128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92120 and 92128. First we will calculate the prime factors of 92120 and 92128.

Prime Factorization of 92120

Prime factors of 92120 are 2, 5, 7, 47. Prime factorization of 92120 in exponential form is:

92120 = 23 × 51 × 72 × 471

Prime Factorization of 92128

Prime factors of 92128 are 2, 2879. Prime factorization of 92128 in exponential form is:

92128 = 25 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 92120 and 92128.

LCM(92120,92128) = 25 × 51 × 72 × 471 × 28791
LCM(92120,92128) = 1060853920