What is the Least Common Multiple of 73832 and 73852?

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 73832 and 73852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73832 and 73852, than apply into the LCM equation.

GCF(73832,73852) = 4
LCM(73832,73852) = ( 73832 × 73852) / 4
LCM(73832,73852) = 5452640864 / 4
LCM(73832,73852) = 1363160216

Least Common Multiple (LCM) of 73832 and 73852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73832 and 73852. First we will calculate the prime factors of 73832 and 73852.

Prime Factorization of 73832

Prime Factorization of 73852

Now multiplying the highest exponent prime factors to calculate the LCM of 73832 and 73852.

LCM(73832,73852) = 2³ × 11¹ × 839¹ × 37¹ × 499¹
LCM(73832,73852) = 1363160216