What is the Least Common Multiple of 68144 and 68162?

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 68162 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 68162, than apply into the LCM equation.

GCF(68144,68162) = 2
LCM(68144,68162) = ( 68144 × 68162) / 2
LCM(68144,68162) = 4644831328 / 2
LCM(68144,68162) = 2322415664

Least Common Multiple (LCM) of 68144 and 68162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68144 and 68162. First we will calculate the prime factors of 68144 and 68162.

Prime Factorization of 68144

Prime Factorization of 68162

Now multiplying the highest exponent prime factors to calculate the LCM of 68144 and 68162.

LCM(68144,68162) = 2⁴ × 4259¹ × 173¹ × 197¹
LCM(68144,68162) = 2322415664