What is the Least Common Multiple of 76860 and 76872?

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 76860 and 76872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76860 and 76872, than apply into the LCM equation.

GCF(76860,76872) = 12
LCM(76860,76872) = ( 76860 × 76872) / 12
LCM(76860,76872) = 5908381920 / 12
LCM(76860,76872) = 492365160

Least Common Multiple (LCM) of 76860 and 76872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76860 and 76872. First we will calculate the prime factors of 76860 and 76872.

Prime Factorization of 76860

Prime Factorization of 76872

Now multiplying the highest exponent prime factors to calculate the LCM of 76860 and 76872.

LCM(76860,76872) = 2³ × 3² × 5¹ × 7¹ × 61¹ × 3203¹
LCM(76860,76872) = 492365160