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What is the Least Common Multiple of 57034 and 57050?

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 57034 and 57050 is 1626894850.

LCM(57034,57050) = 1626894850

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Least Common Multiple of 57034 and 57050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57034 and 57050, than apply into the LCM equation.

GCF(57034,57050) = 2
LCM(57034,57050) = ( 57034 × 57050) / 2
LCM(57034,57050) = 3253789700 / 2
LCM(57034,57050) = 1626894850

Least Common Multiple (LCM) of 57034 and 57050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57034 and 57050. First we will calculate the prime factors of 57034 and 57050.

Prime Factorization of 57034

Prime factors of 57034 are 2, 28517. Prime factorization of 57034 in exponential form is:

57034 = 21 × 285171

Prime Factorization of 57050

Prime factors of 57050 are 2, 5, 7, 163. Prime factorization of 57050 in exponential form is:

57050 = 21 × 52 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 57034 and 57050.

LCM(57034,57050) = 21 × 285171 × 52 × 71 × 1631
LCM(57034,57050) = 1626894850