What is the Least Common Multiple of 72878 and 72892?

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 72878 and 72892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72878 and 72892, than apply into the LCM equation.

GCF(72878,72892) = 2
LCM(72878,72892) = ( 72878 × 72892) / 2
LCM(72878,72892) = 5312223176 / 2
LCM(72878,72892) = 2656111588

Least Common Multiple (LCM) of 72878 and 72892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72878 and 72892. First we will calculate the prime factors of 72878 and 72892.

Prime Factorization of 72878

Prime Factorization of 72892

Now multiplying the highest exponent prime factors to calculate the LCM of 72878 and 72892.

LCM(72878,72892) = 2² × 13¹ × 2803¹ × 18223¹
LCM(72878,72892) = 2656111588