What is the Least Common Multiple of 89136 and 89141?

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 89136 and 89141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89136 and 89141, than apply into the LCM equation.

GCF(89136,89141) = 1
LCM(89136,89141) = ( 89136 × 89141) / 1
LCM(89136,89141) = 7945672176 / 1
LCM(89136,89141) = 7945672176

Least Common Multiple (LCM) of 89136 and 89141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89136 and 89141. First we will calculate the prime factors of 89136 and 89141.

Prime Factorization of 89136

Prime Factorization of 89141

Now multiplying the highest exponent prime factors to calculate the LCM of 89136 and 89141.

LCM(89136,89141) = 2⁴ × 3² × 619¹ × 13¹ × 6857¹
LCM(89136,89141) = 7945672176