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What is the Least Common Multiple of 92152 and 92170?

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 92152 and 92170 is 4246824920.

LCM(92152,92170) = 4246824920

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Least Common Multiple of 92152 and 92170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92152 and 92170, than apply into the LCM equation.

GCF(92152,92170) = 2
LCM(92152,92170) = ( 92152 × 92170) / 2
LCM(92152,92170) = 8493649840 / 2
LCM(92152,92170) = 4246824920

Least Common Multiple (LCM) of 92152 and 92170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92152 and 92170. First we will calculate the prime factors of 92152 and 92170.

Prime Factorization of 92152

Prime factors of 92152 are 2, 11519. Prime factorization of 92152 in exponential form is:

92152 = 23 × 115191

Prime Factorization of 92170

Prime factors of 92170 are 2, 5, 13, 709. Prime factorization of 92170 in exponential form is:

92170 = 21 × 51 × 131 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 92152 and 92170.

LCM(92152,92170) = 23 × 115191 × 51 × 131 × 7091
LCM(92152,92170) = 4246824920