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What is the Least Common Multiple of 3106 and 3124?

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 3106 and 3124 is 4851572.

LCM(3106,3124) = 4851572

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Least Common Multiple of 3106 and 3124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3106 and 3124, than apply into the LCM equation.

GCF(3106,3124) = 2
LCM(3106,3124) = ( 3106 × 3124) / 2
LCM(3106,3124) = 9703144 / 2
LCM(3106,3124) = 4851572

Least Common Multiple (LCM) of 3106 and 3124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3106 and 3124. First we will calculate the prime factors of 3106 and 3124.

Prime Factorization of 3106

Prime factors of 3106 are 2, 1553. Prime factorization of 3106 in exponential form is:

3106 = 21 × 15531

Prime Factorization of 3124

Prime factors of 3124 are 2, 11, 71. Prime factorization of 3124 in exponential form is:

3124 = 22 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3106 and 3124.

LCM(3106,3124) = 22 × 15531 × 111 × 711
LCM(3106,3124) = 4851572