What is the Least Common Multiple of 76089 and 76098?

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 76089 and 76098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76089 and 76098, than apply into the LCM equation.

GCF(76089,76098) = 3
LCM(76089,76098) = ( 76089 × 76098) / 3
LCM(76089,76098) = 5790220722 / 3
LCM(76089,76098) = 1930073574

Least Common Multiple (LCM) of 76089 and 76098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76089 and 76098. First we will calculate the prime factors of 76089 and 76098.

Prime Factorization of 76089

Prime Factorization of 76098

Now multiplying the highest exponent prime factors to calculate the LCM of 76089 and 76098.

LCM(76089,76098) = 3¹ × 13¹ × 1951¹ × 2¹ × 11¹ × 1153¹
LCM(76089,76098) = 1930073574