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What is the Least Common Multiple of 57219 and 57228?

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 57219 and 57228 is 1091509644.

LCM(57219,57228) = 1091509644

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Least Common Multiple of 57219 and 57228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57219 and 57228, than apply into the LCM equation.

GCF(57219,57228) = 3
LCM(57219,57228) = ( 57219 × 57228) / 3
LCM(57219,57228) = 3274528932 / 3
LCM(57219,57228) = 1091509644

Least Common Multiple (LCM) of 57219 and 57228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57219 and 57228. First we will calculate the prime factors of 57219 and 57228.

Prime Factorization of 57219

Prime factors of 57219 are 3, 19073. Prime factorization of 57219 in exponential form is:

57219 = 31 × 190731

Prime Factorization of 57228

Prime factors of 57228 are 2, 3, 19, 251. Prime factorization of 57228 in exponential form is:

57228 = 22 × 31 × 191 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 57219 and 57228.

LCM(57219,57228) = 31 × 190731 × 22 × 191 × 2511
LCM(57219,57228) = 1091509644