What is the Least Common Multiple of 64144 and 64162?

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 64144 and 64162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64144 and 64162, than apply into the LCM equation.

GCF(64144,64162) = 2
LCM(64144,64162) = ( 64144 × 64162) / 2
LCM(64144,64162) = 4115607328 / 2
LCM(64144,64162) = 2057803664

Least Common Multiple (LCM) of 64144 and 64162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64144 and 64162. First we will calculate the prime factors of 64144 and 64162.

Prime Factorization of 64144

Prime Factorization of 64162

Now multiplying the highest exponent prime factors to calculate the LCM of 64144 and 64162.

LCM(64144,64162) = 2⁴ × 19¹ × 211¹ × 7¹ × 4583¹
LCM(64144,64162) = 2057803664