What is the Least Common Multiple of 91695 and 91704?

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 91695 and 91704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91695 and 91704, than apply into the LCM equation.

GCF(91695,91704) = 3
LCM(91695,91704) = ( 91695 × 91704) / 3
LCM(91695,91704) = 8408798280 / 3
LCM(91695,91704) = 2802932760

Least Common Multiple (LCM) of 91695 and 91704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91695 and 91704. First we will calculate the prime factors of 91695 and 91704.

Prime Factorization of 91695

Prime Factorization of 91704

Now multiplying the highest exponent prime factors to calculate the LCM of 91695 and 91704.

LCM(91695,91704) = 3¹ × 5¹ × 6113¹ × 2³ × 3821¹
LCM(91695,91704) = 2802932760