What is the Least Common Multiple of 89176 and 89189?

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 89176 and 89189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89176 and 89189, than apply into the LCM equation.

GCF(89176,89189) = 1
LCM(89176,89189) = ( 89176 × 89189) / 1
LCM(89176,89189) = 7953518264 / 1
LCM(89176,89189) = 7953518264

Least Common Multiple (LCM) of 89176 and 89189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89176 and 89189. First we will calculate the prime factors of 89176 and 89189.

Prime Factorization of 89176

Prime Factorization of 89189

Now multiplying the highest exponent prime factors to calculate the LCM of 89176 and 89189.

LCM(89176,89189) = 2³ × 71¹ × 157¹ × 89189¹
LCM(89176,89189) = 7953518264