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What is the Least Common Multiple of 4252 and 4270?

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 4252 and 4270 is 9078020.

LCM(4252,4270) = 9078020

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Least Common Multiple of 4252 and 4270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4252 and 4270, than apply into the LCM equation.

GCF(4252,4270) = 2
LCM(4252,4270) = ( 4252 × 4270) / 2
LCM(4252,4270) = 18156040 / 2
LCM(4252,4270) = 9078020

Least Common Multiple (LCM) of 4252 and 4270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4252 and 4270. First we will calculate the prime factors of 4252 and 4270.

Prime Factorization of 4252

Prime factors of 4252 are 2, 1063. Prime factorization of 4252 in exponential form is:

4252 = 22 × 10631

Prime Factorization of 4270

Prime factors of 4270 are 2, 5, 7, 61. Prime factorization of 4270 in exponential form is:

4270 = 21 × 51 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 4252 and 4270.

LCM(4252,4270) = 22 × 10631 × 51 × 71 × 611
LCM(4252,4270) = 9078020