What is the Least Common Multiple of 41544 and 41552?

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 41544 and 41552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41544 and 41552, than apply into the LCM equation.

GCF(41544,41552) = 8
LCM(41544,41552) = ( 41544 × 41552) / 8
LCM(41544,41552) = 1726236288 / 8
LCM(41544,41552) = 215779536

Least Common Multiple (LCM) of 41544 and 41552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41544 and 41552. First we will calculate the prime factors of 41544 and 41552.

Prime Factorization of 41544

Prime Factorization of 41552

Now multiplying the highest exponent prime factors to calculate the LCM of 41544 and 41552.

LCM(41544,41552) = 2⁴ × 3² × 577¹ × 7² × 53¹
LCM(41544,41552) = 215779536