What is the Least Common Multiple of 93640 and 93648?

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 93640 and 93648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93640 and 93648, than apply into the LCM equation.

GCF(93640,93648) = 8
LCM(93640,93648) = ( 93640 × 93648) / 8
LCM(93640,93648) = 8769198720 / 8
LCM(93640,93648) = 1096149840

Least Common Multiple (LCM) of 93640 and 93648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93640 and 93648. First we will calculate the prime factors of 93640 and 93648.

Prime Factorization of 93640

Prime Factorization of 93648

Now multiplying the highest exponent prime factors to calculate the LCM of 93640 and 93648.

LCM(93640,93648) = 2⁴ × 5¹ × 2341¹ × 3¹ × 1951¹
LCM(93640,93648) = 1096149840