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What is the Least Common Multiple of 30652 and 30664?

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 30652 and 30664 is 234978232.

LCM(30652,30664) = 234978232

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Least Common Multiple of 30652 and 30664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30652 and 30664, than apply into the LCM equation.

GCF(30652,30664) = 4
LCM(30652,30664) = ( 30652 × 30664) / 4
LCM(30652,30664) = 939912928 / 4
LCM(30652,30664) = 234978232

Least Common Multiple (LCM) of 30652 and 30664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30652 and 30664. First we will calculate the prime factors of 30652 and 30664.

Prime Factorization of 30652

Prime factors of 30652 are 2, 79, 97. Prime factorization of 30652 in exponential form is:

30652 = 22 × 791 × 971

Prime Factorization of 30664

Prime factors of 30664 are 2, 3833. Prime factorization of 30664 in exponential form is:

30664 = 23 × 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 30652 and 30664.

LCM(30652,30664) = 23 × 791 × 971 × 38331
LCM(30652,30664) = 234978232