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What is the Least Common Multiple of 94235 and 94252?

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 94252 is 8881837220.

LCM(94235,94252) = 8881837220

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Least Common Multiple of 94235 and 94252 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 94252, than apply into the LCM equation.

GCF(94235,94252) = 1
LCM(94235,94252) = ( 94235 × 94252) / 1
LCM(94235,94252) = 8881837220 / 1
LCM(94235,94252) = 8881837220

Least Common Multiple (LCM) of 94235 and 94252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94235 and 94252. First we will calculate the prime factors of 94235 and 94252.

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 94252

Prime factors of 94252 are 2, 23563. Prime factorization of 94252 in exponential form is:

94252 = 22 × 235631

Now multiplying the highest exponent prime factors to calculate the LCM of 94235 and 94252.

LCM(94235,94252) = 51 × 471 × 4011 × 22 × 235631
LCM(94235,94252) = 8881837220