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What is the Least Common Multiple of 61621 and 61630?

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 61621 and 61630 is 3797702230.

LCM(61621,61630) = 3797702230

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Least Common Multiple of 61621 and 61630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61621 and 61630, than apply into the LCM equation.

GCF(61621,61630) = 1
LCM(61621,61630) = ( 61621 × 61630) / 1
LCM(61621,61630) = 3797702230 / 1
LCM(61621,61630) = 3797702230

Least Common Multiple (LCM) of 61621 and 61630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61621 and 61630. First we will calculate the prime factors of 61621 and 61630.

Prime Factorization of 61621

Prime factors of 61621 are 7, 8803. Prime factorization of 61621 in exponential form is:

61621 = 71 × 88031

Prime Factorization of 61630

Prime factors of 61630 are 2, 5, 6163. Prime factorization of 61630 in exponential form is:

61630 = 21 × 51 × 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 61621 and 61630.

LCM(61621,61630) = 71 × 88031 × 21 × 51 × 61631
LCM(61621,61630) = 3797702230