What is the Least Common Multiple of 64848 and 64864?

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 64864 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 64864, than apply into the LCM equation.

GCF(64848,64864) = 16
LCM(64848,64864) = ( 64848 × 64864) / 16
LCM(64848,64864) = 4206300672 / 16
LCM(64848,64864) = 262893792

Least Common Multiple (LCM) of 64848 and 64864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64848 and 64864. First we will calculate the prime factors of 64848 and 64864.

Prime Factorization of 64848

Prime Factorization of 64864

Now multiplying the highest exponent prime factors to calculate the LCM of 64848 and 64864.

LCM(64848,64864) = 2⁵ × 3¹ × 7¹ × 193¹ × 2027¹
LCM(64848,64864) = 262893792