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What is the Least Common Multiple of 57106 and 57110?

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 57106 and 57110 is 1630661830.

LCM(57106,57110) = 1630661830

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Least Common Multiple of 57106 and 57110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57106 and 57110, than apply into the LCM equation.

GCF(57106,57110) = 2
LCM(57106,57110) = ( 57106 × 57110) / 2
LCM(57106,57110) = 3261323660 / 2
LCM(57106,57110) = 1630661830

Least Common Multiple (LCM) of 57106 and 57110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57106 and 57110. First we will calculate the prime factors of 57106 and 57110.

Prime Factorization of 57106

Prime factors of 57106 are 2, 7, 4079. Prime factorization of 57106 in exponential form is:

57106 = 21 × 71 × 40791

Prime Factorization of 57110

Prime factors of 57110 are 2, 5, 5711. Prime factorization of 57110 in exponential form is:

57110 = 21 × 51 × 57111

Now multiplying the highest exponent prime factors to calculate the LCM of 57106 and 57110.

LCM(57106,57110) = 21 × 71 × 40791 × 51 × 57111
LCM(57106,57110) = 1630661830