What is the Least Common Multiple of 64493 and 64507?

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 64493 and 64507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64493 and 64507, than apply into the LCM equation.

GCF(64493,64507) = 1
LCM(64493,64507) = ( 64493 × 64507) / 1
LCM(64493,64507) = 4160249951 / 1
LCM(64493,64507) = 4160249951

Least Common Multiple (LCM) of 64493 and 64507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64493 and 64507. First we will calculate the prime factors of 64493 and 64507.

Prime Factorization of 64493

Prime Factorization of 64507

Now multiplying the highest exponent prime factors to calculate the LCM of 64493 and 64507.

LCM(64493,64507) = 11² × 13¹ × 41¹ × 251¹ × 257¹
LCM(64493,64507) = 4160249951