What is the Least Common Multiple of 91350 and 91354?

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 91350 and 91354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91350 and 91354, than apply into the LCM equation.

GCF(91350,91354) = 2
LCM(91350,91354) = ( 91350 × 91354) / 2
LCM(91350,91354) = 8345187900 / 2
LCM(91350,91354) = 4172593950

Least Common Multiple (LCM) of 91350 and 91354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91350 and 91354. First we will calculate the prime factors of 91350 and 91354.

Prime Factorization of 91350

Prime Factorization of 91354

Now multiplying the highest exponent prime factors to calculate the LCM of 91350 and 91354.

LCM(91350,91354) = 2¹ × 3² × 5² × 7¹ × 29¹ × 45677¹
LCM(91350,91354) = 4172593950