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What is the Least Common Multiple of 30671 and 30676?

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 30671 and 30676 is 940863596.

LCM(30671,30676) = 940863596

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Least Common Multiple of 30671 and 30676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30671 and 30676, than apply into the LCM equation.

GCF(30671,30676) = 1
LCM(30671,30676) = ( 30671 × 30676) / 1
LCM(30671,30676) = 940863596 / 1
LCM(30671,30676) = 940863596

Least Common Multiple (LCM) of 30671 and 30676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30671 and 30676. First we will calculate the prime factors of 30671 and 30676.

Prime Factorization of 30671

Prime factors of 30671 are 30671. Prime factorization of 30671 in exponential form is:

30671 = 306711

Prime Factorization of 30676

Prime factors of 30676 are 2, 7669. Prime factorization of 30676 in exponential form is:

30676 = 22 × 76691

Now multiplying the highest exponent prime factors to calculate the LCM of 30671 and 30676.

LCM(30671,30676) = 306711 × 22 × 76691
LCM(30671,30676) = 940863596