What is the Least Common Multiple of 64530 and 64536?

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 64530 and 64536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64530 and 64536, than apply into the LCM equation.

GCF(64530,64536) = 6
LCM(64530,64536) = ( 64530 × 64536) / 6
LCM(64530,64536) = 4164508080 / 6
LCM(64530,64536) = 694084680

Least Common Multiple (LCM) of 64530 and 64536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64530 and 64536. First we will calculate the prime factors of 64530 and 64536.

Prime Factorization of 64530

Prime Factorization of 64536

Now multiplying the highest exponent prime factors to calculate the LCM of 64530 and 64536.

LCM(64530,64536) = 2³ × 3³ × 5¹ × 239¹ × 2689¹
LCM(64530,64536) = 694084680