What is the Least Common Multiple of 41610 and 41630?

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 41610 and 41630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41610 and 41630, than apply into the LCM equation.

GCF(41610,41630) = 10
LCM(41610,41630) = ( 41610 × 41630) / 10
LCM(41610,41630) = 1732224300 / 10
LCM(41610,41630) = 173222430

Least Common Multiple (LCM) of 41610 and 41630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41610 and 41630. First we will calculate the prime factors of 41610 and 41630.

Prime Factorization of 41610

Prime Factorization of 41630

Now multiplying the highest exponent prime factors to calculate the LCM of 41610 and 41630.

LCM(41610,41630) = 2¹ × 3¹ × 5¹ × 19¹ × 73¹ × 23¹ × 181¹
LCM(41610,41630) = 173222430