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What is the Least Common Multiple of 30620 and 30635?

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 30620 and 30635 is 187608740.

LCM(30620,30635) = 187608740

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Least Common Multiple of 30620 and 30635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30620 and 30635, than apply into the LCM equation.

GCF(30620,30635) = 5
LCM(30620,30635) = ( 30620 × 30635) / 5
LCM(30620,30635) = 938043700 / 5
LCM(30620,30635) = 187608740

Least Common Multiple (LCM) of 30620 and 30635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30620 and 30635. First we will calculate the prime factors of 30620 and 30635.

Prime Factorization of 30620

Prime factors of 30620 are 2, 5, 1531. Prime factorization of 30620 in exponential form is:

30620 = 22 × 51 × 15311

Prime Factorization of 30635

Prime factors of 30635 are 5, 11, 557. Prime factorization of 30635 in exponential form is:

30635 = 51 × 111 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 30620 and 30635.

LCM(30620,30635) = 22 × 51 × 15311 × 111 × 5571
LCM(30620,30635) = 187608740