What is the Least Common Multiple of 89174 and 89193?

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 89174 and 89193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89174 and 89193, than apply into the LCM equation.

GCF(89174,89193) = 1
LCM(89174,89193) = ( 89174 × 89193) / 1
LCM(89174,89193) = 7953696582 / 1
LCM(89174,89193) = 7953696582

Least Common Multiple (LCM) of 89174 and 89193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89174 and 89193. First we will calculate the prime factors of 89174 and 89193.

Prime Factorization of 89174

Prime Factorization of 89193

Now multiplying the highest exponent prime factors to calculate the LCM of 89174 and 89193.

LCM(89174,89193) = 2¹ × 44587¹ × 3¹ × 13¹ × 2287¹
LCM(89174,89193) = 7953696582