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What is the Least Common Multiple of 94235 and 94245?

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 94235 and 94245 is 1776235515.

LCM(94235,94245) = 1776235515

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Least Common Multiple of 94235 and 94245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94235 and 94245, than apply into the LCM equation.

GCF(94235,94245) = 5
LCM(94235,94245) = ( 94235 × 94245) / 5
LCM(94235,94245) = 8881177575 / 5
LCM(94235,94245) = 1776235515

Least Common Multiple (LCM) of 94235 and 94245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94235 and 94245. First we will calculate the prime factors of 94235 and 94245.

Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 51 × 471 × 4011

Prime Factorization of 94245

Prime factors of 94245 are 3, 5, 61, 103. Prime factorization of 94245 in exponential form is:

94245 = 31 × 51 × 611 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 94235 and 94245.

LCM(94235,94245) = 51 × 471 × 4011 × 31 × 611 × 1031
LCM(94235,94245) = 1776235515