What is the Least Common Multiple of 41628 and 41643?

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 41628 and 41643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41628 and 41643, than apply into the LCM equation.

GCF(41628,41643) = 3
LCM(41628,41643) = ( 41628 × 41643) / 3
LCM(41628,41643) = 1733514804 / 3
LCM(41628,41643) = 577838268

Least Common Multiple (LCM) of 41628 and 41643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41628 and 41643. First we will calculate the prime factors of 41628 and 41643.

Prime Factorization of 41628

Prime Factorization of 41643

Now multiplying the highest exponent prime factors to calculate the LCM of 41628 and 41643.

LCM(41628,41643) = 2² × 3² × 3469¹ × 7¹ × 661¹
LCM(41628,41643) = 577838268