What is the Least Common Multiple of 41544 and 41562?

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 41562 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 41562, than apply into the LCM equation.

GCF(41544,41562) = 18
LCM(41544,41562) = ( 41544 × 41562) / 18
LCM(41544,41562) = 1726651728 / 18
LCM(41544,41562) = 95925096

Least Common Multiple (LCM) of 41544 and 41562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41544 and 41562. First we will calculate the prime factors of 41544 and 41562.

Prime Factorization of 41544

Prime Factorization of 41562

Now multiplying the highest exponent prime factors to calculate the LCM of 41544 and 41562.

LCM(41544,41562) = 2³ × 3² × 577¹ × 2309¹
LCM(41544,41562) = 95925096