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What is the Least Common Multiple of 57032 and 57048?

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 57032 and 57048 is 406695192.

LCM(57032,57048) = 406695192

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Least Common Multiple of 57032 and 57048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57032 and 57048, than apply into the LCM equation.

GCF(57032,57048) = 8
LCM(57032,57048) = ( 57032 × 57048) / 8
LCM(57032,57048) = 3253561536 / 8
LCM(57032,57048) = 406695192

Least Common Multiple (LCM) of 57032 and 57048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57032 and 57048. First we will calculate the prime factors of 57032 and 57048.

Prime Factorization of 57032

Prime factors of 57032 are 2, 7129. Prime factorization of 57032 in exponential form is:

57032 = 23 × 71291

Prime Factorization of 57048

Prime factors of 57048 are 2, 3, 2377. Prime factorization of 57048 in exponential form is:

57048 = 23 × 31 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 57032 and 57048.

LCM(57032,57048) = 23 × 71291 × 31 × 23771
LCM(57032,57048) = 406695192