What is the Least Common Multiple of 89104 and 89112?

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 89104 and 89112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89104 and 89112, than apply into the LCM equation.

GCF(89104,89112) = 8
LCM(89104,89112) = ( 89104 × 89112) / 8
LCM(89104,89112) = 7940235648 / 8
LCM(89104,89112) = 992529456

Least Common Multiple (LCM) of 89104 and 89112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89104 and 89112. First we will calculate the prime factors of 89104 and 89112.

Prime Factorization of 89104

Prime Factorization of 89112

Now multiplying the highest exponent prime factors to calculate the LCM of 89104 and 89112.

LCM(89104,89112) = 2⁴ × 5569¹ × 3¹ × 47¹ × 79¹
LCM(89104,89112) = 992529456