What is the Least Common Multiple of 89076 and 89094?

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 89076 and 89094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89076 and 89094, than apply into the LCM equation.

GCF(89076,89094) = 6
LCM(89076,89094) = ( 89076 × 89094) / 6
LCM(89076,89094) = 7936137144 / 6
LCM(89076,89094) = 1322689524

Least Common Multiple (LCM) of 89076 and 89094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89076 and 89094. First we will calculate the prime factors of 89076 and 89094.

Prime Factorization of 89076

Prime Factorization of 89094

Now multiplying the highest exponent prime factors to calculate the LCM of 89076 and 89094.

LCM(89076,89094) = 2² × 3¹ × 13¹ × 571¹ × 31¹ × 479¹
LCM(89076,89094) = 1322689524