What is the Least Common Multiple of 89076 and 89093?

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 89093 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 89093, than apply into the LCM equation.

GCF(89076,89093) = 1
LCM(89076,89093) = ( 89076 × 89093) / 1
LCM(89076,89093) = 7936048068 / 1
LCM(89076,89093) = 7936048068

Least Common Multiple (LCM) of 89076 and 89093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89076 and 89093. First we will calculate the prime factors of 89076 and 89093.

Prime Factorization of 89076

Prime Factorization of 89093

Now multiplying the highest exponent prime factors to calculate the LCM of 89076 and 89093.

LCM(89076,89093) = 2² × 3¹ × 13¹ × 571¹ × 41² × 53¹
LCM(89076,89093) = 7936048068