What is the Least Common Multiple of 65450 and 65464?

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 65450 and 65464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65450 and 65464, than apply into the LCM equation.

GCF(65450,65464) = 14
LCM(65450,65464) = ( 65450 × 65464) / 14
LCM(65450,65464) = 4284618800 / 14
LCM(65450,65464) = 306044200

Least Common Multiple (LCM) of 65450 and 65464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65450 and 65464. First we will calculate the prime factors of 65450 and 65464.

Prime Factorization of 65450

Prime Factorization of 65464

Now multiplying the highest exponent prime factors to calculate the LCM of 65450 and 65464.

LCM(65450,65464) = 2³ × 5² × 7² × 11¹ × 17¹ × 167¹
LCM(65450,65464) = 306044200