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What is the Least Common Multiple of 30621 and 30630?

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 30621 and 30630 is 312640410.

LCM(30621,30630) = 312640410

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Least Common Multiple of 30621 and 30630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30621 and 30630, than apply into the LCM equation.

GCF(30621,30630) = 3
LCM(30621,30630) = ( 30621 × 30630) / 3
LCM(30621,30630) = 937921230 / 3
LCM(30621,30630) = 312640410

Least Common Multiple (LCM) of 30621 and 30630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30621 and 30630. First we will calculate the prime factors of 30621 and 30630.

Prime Factorization of 30621

Prime factors of 30621 are 3, 59, 173. Prime factorization of 30621 in exponential form is:

30621 = 31 × 591 × 1731

Prime Factorization of 30630

Prime factors of 30630 are 2, 3, 5, 1021. Prime factorization of 30630 in exponential form is:

30630 = 21 × 31 × 51 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 30621 and 30630.

LCM(30621,30630) = 31 × 591 × 1731 × 21 × 51 × 10211
LCM(30621,30630) = 312640410