What is the Least Common Multiple of 64680 and 64699?

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 64680 and 64699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64680 and 64699, than apply into the LCM equation.

GCF(64680,64699) = 1
LCM(64680,64699) = ( 64680 × 64699) / 1
LCM(64680,64699) = 4184731320 / 1
LCM(64680,64699) = 4184731320

Least Common Multiple (LCM) of 64680 and 64699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64680 and 64699. First we will calculate the prime factors of 64680 and 64699.

Prime Factorization of 64680

Prime Factorization of 64699

Now multiplying the highest exponent prime factors to calculate the LCM of 64680 and 64699.

LCM(64680,64699) = 2³ × 3¹ × 5¹ × 7² × 11¹ × 23¹ × 29¹ × 97¹
LCM(64680,64699) = 4184731320