What is the Least Common Multiple of 89174 and 89178?

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 89178 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 89178, than apply into the LCM equation.

GCF(89174,89178) = 2
LCM(89174,89178) = ( 89174 × 89178) / 2
LCM(89174,89178) = 7952358972 / 2
LCM(89174,89178) = 3976179486

Least Common Multiple (LCM) of 89174 and 89178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89174 and 89178. First we will calculate the prime factors of 89174 and 89178.

Prime Factorization of 89174

Prime Factorization of 89178

Now multiplying the highest exponent prime factors to calculate the LCM of 89174 and 89178.

LCM(89174,89178) = 2¹ × 44587¹ × 3¹ × 89¹ × 167¹
LCM(89174,89178) = 3976179486