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What is the Least Common Multiple of 57100 and 57119?

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 57100 and 57119 is 3261494900.

LCM(57100,57119) = 3261494900

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Least Common Multiple of 57100 and 57119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57100 and 57119, than apply into the LCM equation.

GCF(57100,57119) = 1
LCM(57100,57119) = ( 57100 × 57119) / 1
LCM(57100,57119) = 3261494900 / 1
LCM(57100,57119) = 3261494900

Least Common Multiple (LCM) of 57100 and 57119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57100 and 57119. First we will calculate the prime factors of 57100 and 57119.

Prime Factorization of 57100

Prime factors of 57100 are 2, 5, 571. Prime factorization of 57100 in exponential form is:

57100 = 22 × 52 × 5711

Prime Factorization of 57119

Prime factors of 57119 are 57119. Prime factorization of 57119 in exponential form is:

57119 = 571191

Now multiplying the highest exponent prime factors to calculate the LCM of 57100 and 57119.

LCM(57100,57119) = 22 × 52 × 5711 × 571191
LCM(57100,57119) = 3261494900