What is the Least Common Multiple of 91174 and 91180?

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 91174 and 91180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91174 and 91180, than apply into the LCM equation.

GCF(91174,91180) = 2
LCM(91174,91180) = ( 91174 × 91180) / 2
LCM(91174,91180) = 8313245320 / 2
LCM(91174,91180) = 4156622660

Least Common Multiple (LCM) of 91174 and 91180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91174 and 91180. First we will calculate the prime factors of 91174 and 91180.

Prime Factorization of 91174

Prime Factorization of 91180

Now multiplying the highest exponent prime factors to calculate the LCM of 91174 and 91180.

LCM(91174,91180) = 2² × 45587¹ × 5¹ × 47¹ × 97¹
LCM(91174,91180) = 4156622660