What is the Least Common Multiple of 64501 and 64519?

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 64501 and 64519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64501 and 64519, than apply into the LCM equation.

GCF(64501,64519) = 1
LCM(64501,64519) = ( 64501 × 64519) / 1
LCM(64501,64519) = 4161540019 / 1
LCM(64501,64519) = 4161540019

Least Common Multiple (LCM) of 64501 and 64519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64501 and 64519. First we will calculate the prime factors of 64501 and 64519.

Prime Factorization of 64501

Prime Factorization of 64519

Now multiplying the highest exponent prime factors to calculate the LCM of 64501 and 64519.

LCM(64501,64519) = 53¹ × 1217¹ × 7¹ × 13¹ × 709¹
LCM(64501,64519) = 4161540019