What is the Least Common Multiple of 68144 and 68164?

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 68144 and 68164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68144 and 68164, than apply into the LCM equation.

GCF(68144,68164) = 4
LCM(68144,68164) = ( 68144 × 68164) / 4
LCM(68144,68164) = 4644967616 / 4
LCM(68144,68164) = 1161241904

Least Common Multiple (LCM) of 68144 and 68164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68144 and 68164. First we will calculate the prime factors of 68144 and 68164.

Prime Factorization of 68144

Prime Factorization of 68164

Now multiplying the highest exponent prime factors to calculate the LCM of 68144 and 68164.

LCM(68144,68164) = 2⁴ × 4259¹ × 17041¹
LCM(68144,68164) = 1161241904