What is the Least Common Multiple of 52640 and 52657?

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 52640 and 52657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52640 and 52657, than apply into the LCM equation.

GCF(52640,52657) = 1
LCM(52640,52657) = ( 52640 × 52657) / 1
LCM(52640,52657) = 2771864480 / 1
LCM(52640,52657) = 2771864480

Least Common Multiple (LCM) of 52640 and 52657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52640 and 52657. First we will calculate the prime factors of 52640 and 52657.

Prime Factorization of 52640

Prime Factorization of 52657

Now multiplying the highest exponent prime factors to calculate the LCM of 52640 and 52657.

LCM(52640,52657) = 2⁵ × 5¹ × 7¹ × 47¹ × 11¹ × 4787¹
LCM(52640,52657) = 2771864480