What is the Least Common Multiple of 91920 and 91935?

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 91920 and 91935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91920 and 91935, than apply into the LCM equation.

GCF(91920,91935) = 15
LCM(91920,91935) = ( 91920 × 91935) / 15
LCM(91920,91935) = 8450665200 / 15
LCM(91920,91935) = 563377680

Least Common Multiple (LCM) of 91920 and 91935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91920 and 91935. First we will calculate the prime factors of 91920 and 91935.

Prime Factorization of 91920

Prime Factorization of 91935

Now multiplying the highest exponent prime factors to calculate the LCM of 91920 and 91935.

LCM(91920,91935) = 2⁴ × 3⁴ × 5¹ × 383¹ × 227¹
LCM(91920,91935) = 563377680