What is the Least Common Multiple of 41624 and 41635?

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 41624 and 41635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41624 and 41635, than apply into the LCM equation.

GCF(41624,41635) = 11
LCM(41624,41635) = ( 41624 × 41635) / 11
LCM(41624,41635) = 1733015240 / 11
LCM(41624,41635) = 157546840

Least Common Multiple (LCM) of 41624 and 41635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41624 and 41635. First we will calculate the prime factors of 41624 and 41635.

Prime Factorization of 41624

Prime Factorization of 41635

Now multiplying the highest exponent prime factors to calculate the LCM of 41624 and 41635.

LCM(41624,41635) = 2³ × 11² × 43¹ × 5¹ × 757¹
LCM(41624,41635) = 157546840