What is the Least Common Multiple of 61860 and 61872?

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 61860 and 61872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61860 and 61872, than apply into the LCM equation.

GCF(61860,61872) = 12
LCM(61860,61872) = ( 61860 × 61872) / 12
LCM(61860,61872) = 3827401920 / 12
LCM(61860,61872) = 318950160

Least Common Multiple (LCM) of 61860 and 61872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61860 and 61872. First we will calculate the prime factors of 61860 and 61872.

Prime Factorization of 61860

Prime Factorization of 61872

Now multiplying the highest exponent prime factors to calculate the LCM of 61860 and 61872.

LCM(61860,61872) = 2⁴ × 3¹ × 5¹ × 1031¹ × 1289¹
LCM(61860,61872) = 318950160