What is the Least Common Multiple of 91350 and 91365?

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 91365 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 91365, than apply into the LCM equation.

GCF(91350,91365) = 15
LCM(91350,91365) = ( 91350 × 91365) / 15
LCM(91350,91365) = 8346192750 / 15
LCM(91350,91365) = 556412850

Least Common Multiple (LCM) of 91350 and 91365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91350 and 91365. First we will calculate the prime factors of 91350 and 91365.

Prime Factorization of 91350

Prime Factorization of 91365

Now multiplying the highest exponent prime factors to calculate the LCM of 91350 and 91365.

LCM(91350,91365) = 2¹ × 3² × 5² × 7¹ × 29¹ × 6091¹
LCM(91350,91365) = 556412850