What is the Least Common Multiple of 61610 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 of 61610 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 61610 and 61630, than apply into the LCM equation.

GCF(61610,61630) = 10
LCM(61610,61630) = ( 61610 × 61630) / 10
LCM(61610,61630) = 3797024300 / 10
LCM(61610,61630) = 379702430

Least Common Multiple (LCM) of 61610 and 61630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61610 and 61630. First we will calculate the prime factors of 61610 and 61630.

Prime Factorization of 61610

Prime Factorization of 61630

Now multiplying the highest exponent prime factors to calculate the LCM of 61610 and 61630.

LCM(61610,61630) = 2¹ × 5¹ × 61¹ × 101¹ × 6163¹
LCM(61610,61630) = 379702430