What is the Least Common Multiple of 47640 and 47652?

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 47640 and 47652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47640 and 47652, than apply into the LCM equation.

GCF(47640,47652) = 12
LCM(47640,47652) = ( 47640 × 47652) / 12
LCM(47640,47652) = 2270141280 / 12
LCM(47640,47652) = 189178440

Least Common Multiple (LCM) of 47640 and 47652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47640 and 47652. First we will calculate the prime factors of 47640 and 47652.

Prime Factorization of 47640

Prime Factorization of 47652

Now multiplying the highest exponent prime factors to calculate the LCM of 47640 and 47652.

LCM(47640,47652) = 2³ × 3¹ × 5¹ × 397¹ × 11¹ × 19²
LCM(47640,47652) = 189178440