What is the Least Common Multiple of 64435 and 64445?

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 64435 and 64445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64435 and 64445, than apply into the LCM equation.

GCF(64435,64445) = 5
LCM(64435,64445) = ( 64435 × 64445) / 5
LCM(64435,64445) = 4152513575 / 5
LCM(64435,64445) = 830502715

Least Common Multiple (LCM) of 64435 and 64445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64435 and 64445. First we will calculate the prime factors of 64435 and 64445.

Prime Factorization of 64435

Prime Factorization of 64445

Now multiplying the highest exponent prime factors to calculate the LCM of 64435 and 64445.

LCM(64435,64445) = 5¹ × 7² × 263¹ × 12889¹
LCM(64435,64445) = 830502715