What is the Least Common Multiple of 64812 and 64832?

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 64812 and 64832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64812 and 64832, than apply into the LCM equation.

GCF(64812,64832) = 4
LCM(64812,64832) = ( 64812 × 64832) / 4
LCM(64812,64832) = 4201891584 / 4
LCM(64812,64832) = 1050472896

Least Common Multiple (LCM) of 64812 and 64832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64812 and 64832. First we will calculate the prime factors of 64812 and 64832.

Prime Factorization of 64812

Prime Factorization of 64832

Now multiplying the highest exponent prime factors to calculate the LCM of 64812 and 64832.

LCM(64812,64832) = 2⁶ × 3¹ × 11¹ × 491¹ × 1013¹
LCM(64812,64832) = 1050472896