What is the Least Common Multiple of 64565 and 64580?

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 64565 and 64580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64565 and 64580, than apply into the LCM equation.

GCF(64565,64580) = 5
LCM(64565,64580) = ( 64565 × 64580) / 5
LCM(64565,64580) = 4169607700 / 5
LCM(64565,64580) = 833921540

Least Common Multiple (LCM) of 64565 and 64580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64565 and 64580. First we will calculate the prime factors of 64565 and 64580.

Prime Factorization of 64565

Prime Factorization of 64580

Now multiplying the highest exponent prime factors to calculate the LCM of 64565 and 64580.

LCM(64565,64580) = 5¹ × 37¹ × 349¹ × 2² × 3229¹
LCM(64565,64580) = 833921540