What is the Least Common Multiple of 64848 and 64852?

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 64848 and 64852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64848 and 64852, than apply into the LCM equation.

GCF(64848,64852) = 4
LCM(64848,64852) = ( 64848 × 64852) / 4
LCM(64848,64852) = 4205522496 / 4
LCM(64848,64852) = 1051380624

Least Common Multiple (LCM) of 64848 and 64852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64848 and 64852. First we will calculate the prime factors of 64848 and 64852.

Prime Factorization of 64848

Prime Factorization of 64852

Now multiplying the highest exponent prime factors to calculate the LCM of 64848 and 64852.

LCM(64848,64852) = 2⁴ × 3¹ × 7¹ × 193¹ × 31¹ × 523¹
LCM(64848,64852) = 1051380624