What is the Least Common Multiple of 41610 and 41628?

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 41628 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 41628, than apply into the LCM equation.

GCF(41610,41628) = 6
LCM(41610,41628) = ( 41610 × 41628) / 6
LCM(41610,41628) = 1732141080 / 6
LCM(41610,41628) = 288690180

Least Common Multiple (LCM) of 41610 and 41628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41610 and 41628. First we will calculate the prime factors of 41610 and 41628.

Prime Factorization of 41610

Prime Factorization of 41628

Now multiplying the highest exponent prime factors to calculate the LCM of 41610 and 41628.

LCM(41610,41628) = 2² × 3¹ × 5¹ × 19¹ × 73¹ × 3469¹
LCM(41610,41628) = 288690180