What is the Least Common Multiple of 89164 and 89177?

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 89164 and 89177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89164 and 89177, than apply into the LCM equation.

GCF(89164,89177) = 1
LCM(89164,89177) = ( 89164 × 89177) / 1
LCM(89164,89177) = 7951378028 / 1
LCM(89164,89177) = 7951378028

Least Common Multiple (LCM) of 89164 and 89177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89164 and 89177. First we will calculate the prime factors of 89164 and 89177.

Prime Factorization of 89164

Prime Factorization of 89177

Now multiplying the highest exponent prime factors to calculate the LCM of 89164 and 89177.

LCM(89164,89177) = 2² × 22291¹ × 11³ × 67¹
LCM(89164,89177) = 7951378028