What is the Least Common Multiple of 89072 and 89076?

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 89072 and 89076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89072 and 89076, than apply into the LCM equation.

GCF(89072,89076) = 4
LCM(89072,89076) = ( 89072 × 89076) / 4
LCM(89072,89076) = 7934177472 / 4
LCM(89072,89076) = 1983544368

Least Common Multiple (LCM) of 89072 and 89076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89072 and 89076. First we will calculate the prime factors of 89072 and 89076.

Prime Factorization of 89072

Prime Factorization of 89076

Now multiplying the highest exponent prime factors to calculate the LCM of 89072 and 89076.

LCM(89072,89076) = 2⁴ × 19¹ × 293¹ × 3¹ × 13¹ × 571¹
LCM(89072,89076) = 1983544368