What is the Least Common Multiple of 41604 and 41624?

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 41604 and 41624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41604 and 41624, than apply into the LCM equation.

GCF(41604,41624) = 4
LCM(41604,41624) = ( 41604 × 41624) / 4
LCM(41604,41624) = 1731724896 / 4
LCM(41604,41624) = 432931224

Least Common Multiple (LCM) of 41604 and 41624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41604 and 41624. First we will calculate the prime factors of 41604 and 41624.

Prime Factorization of 41604

Prime Factorization of 41624

Now multiplying the highest exponent prime factors to calculate the LCM of 41604 and 41624.

LCM(41604,41624) = 2³ × 3¹ × 3467¹ × 11² × 43¹
LCM(41604,41624) = 432931224