What is the Least Common Multiple of 60640 and 60648?

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 60640 and 60648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60640 and 60648, than apply into the LCM equation.

GCF(60640,60648) = 8
LCM(60640,60648) = ( 60640 × 60648) / 8
LCM(60640,60648) = 3677694720 / 8
LCM(60640,60648) = 459711840

Least Common Multiple (LCM) of 60640 and 60648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60640 and 60648. First we will calculate the prime factors of 60640 and 60648.

Prime Factorization of 60640

Prime Factorization of 60648

Now multiplying the highest exponent prime factors to calculate the LCM of 60640 and 60648.

LCM(60640,60648) = 2⁵ × 5¹ × 379¹ × 3¹ × 7¹ × 19²
LCM(60640,60648) = 459711840