What is the Least Common Multiple of 91648 and 91652?

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 91648 and 91652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91648 and 91652, than apply into the LCM equation.

GCF(91648,91652) = 4
LCM(91648,91652) = ( 91648 × 91652) / 4
LCM(91648,91652) = 8399722496 / 4
LCM(91648,91652) = 2099930624

Least Common Multiple (LCM) of 91648 and 91652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91648 and 91652. First we will calculate the prime factors of 91648 and 91652.

Prime Factorization of 91648

Prime Factorization of 91652

Now multiplying the highest exponent prime factors to calculate the LCM of 91648 and 91652.

LCM(91648,91652) = 2⁹ × 179¹ × 11¹ × 2083¹
LCM(91648,91652) = 2099930624