What is the Least Common Multiple of 64848 and 64862?

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 64862 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 64862, than apply into the LCM equation.

GCF(64848,64862) = 14
LCM(64848,64862) = ( 64848 × 64862) / 14
LCM(64848,64862) = 4206170976 / 14
LCM(64848,64862) = 300440784

Least Common Multiple (LCM) of 64848 and 64862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64848 and 64862. First we will calculate the prime factors of 64848 and 64862.

Prime Factorization of 64848

Prime Factorization of 64862

Now multiplying the highest exponent prime factors to calculate the LCM of 64848 and 64862.

LCM(64848,64862) = 2⁴ × 3¹ × 7¹ × 193¹ × 41¹ × 113¹
LCM(64848,64862) = 300440784