What is the Least Common Multiple of 41532 and 41548?

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 41532 and 41548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41532 and 41548, than apply into the LCM equation.

GCF(41532,41548) = 4
LCM(41532,41548) = ( 41532 × 41548) / 4
LCM(41532,41548) = 1725571536 / 4
LCM(41532,41548) = 431392884

Least Common Multiple (LCM) of 41532 and 41548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41532 and 41548. First we will calculate the prime factors of 41532 and 41548.

Prime Factorization of 41532

Prime Factorization of 41548

Now multiplying the highest exponent prime factors to calculate the LCM of 41532 and 41548.

LCM(41532,41548) = 2² × 3¹ × 3461¹ × 13¹ × 17¹ × 47¹
LCM(41532,41548) = 431392884