What is the Least Common Multiple of 91632 and 91650?

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 91632 and 91650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91632 and 91650, than apply into the LCM equation.

GCF(91632,91650) = 6
LCM(91632,91650) = ( 91632 × 91650) / 6
LCM(91632,91650) = 8398072800 / 6
LCM(91632,91650) = 1399678800

Least Common Multiple (LCM) of 91632 and 91650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91632 and 91650. First we will calculate the prime factors of 91632 and 91650.

Prime Factorization of 91632

Prime Factorization of 91650

Now multiplying the highest exponent prime factors to calculate the LCM of 91632 and 91650.

LCM(91632,91650) = 2⁴ × 3¹ × 23¹ × 83¹ × 5² × 13¹ × 47¹
LCM(91632,91650) = 1399678800