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What is the Least Common Multiple of 57076 and 57092?

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 57076 and 57092 is 814645748.

LCM(57076,57092) = 814645748

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Least Common Multiple of 57076 and 57092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57076 and 57092, than apply into the LCM equation.

GCF(57076,57092) = 4
LCM(57076,57092) = ( 57076 × 57092) / 4
LCM(57076,57092) = 3258582992 / 4
LCM(57076,57092) = 814645748

Least Common Multiple (LCM) of 57076 and 57092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57076 and 57092. First we will calculate the prime factors of 57076 and 57092.

Prime Factorization of 57076

Prime factors of 57076 are 2, 19, 751. Prime factorization of 57076 in exponential form is:

57076 = 22 × 191 × 7511

Prime Factorization of 57092

Prime factors of 57092 are 2, 7, 2039. Prime factorization of 57092 in exponential form is:

57092 = 22 × 71 × 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 57076 and 57092.

LCM(57076,57092) = 22 × 191 × 7511 × 71 × 20391
LCM(57076,57092) = 814645748