What is the Least Common Multiple of 89152 and 89156?

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 89152 and 89156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89152 and 89156, than apply into the LCM equation.

GCF(89152,89156) = 4
LCM(89152,89156) = ( 89152 × 89156) / 4
LCM(89152,89156) = 7948435712 / 4
LCM(89152,89156) = 1987108928

Least Common Multiple (LCM) of 89152 and 89156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89152 and 89156. First we will calculate the prime factors of 89152 and 89156.

Prime Factorization of 89152

Prime Factorization of 89156

Now multiplying the highest exponent prime factors to calculate the LCM of 89152 and 89156.

LCM(89152,89156) = 2⁶ × 7¹ × 199¹ × 31¹ × 719¹
LCM(89152,89156) = 1987108928