What is the Least Common Multiple of 64380 and 64386?

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 64380 and 64386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64380 and 64386, than apply into the LCM equation.

GCF(64380,64386) = 6
LCM(64380,64386) = ( 64380 × 64386) / 6
LCM(64380,64386) = 4145170680 / 6
LCM(64380,64386) = 690861780

Least Common Multiple (LCM) of 64380 and 64386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64386. First we will calculate the prime factors of 64380 and 64386.

Prime Factorization of 64380

Prime Factorization of 64386

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64386.

LCM(64380,64386) = 2² × 3² × 5¹ × 29¹ × 37¹ × 7² × 73¹
LCM(64380,64386) = 690861780