What is the Least Common Multiple of 64380 and 64384?

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 64384 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 64384, than apply into the LCM equation.

GCF(64380,64384) = 4
LCM(64380,64384) = ( 64380 × 64384) / 4
LCM(64380,64384) = 4145041920 / 4
LCM(64380,64384) = 1036260480

Least Common Multiple (LCM) of 64380 and 64384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64384. First we will calculate the prime factors of 64380 and 64384.

Prime Factorization of 64380

Prime Factorization of 64384

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64384.

LCM(64380,64384) = 2⁷ × 3¹ × 5¹ × 29¹ × 37¹ × 503¹
LCM(64380,64384) = 1036260480