What is the Least Common Multiple of 68128 and 68138?

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 68128 and 68138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68128 and 68138, than apply into the LCM equation.

GCF(68128,68138) = 2
LCM(68128,68138) = ( 68128 × 68138) / 2
LCM(68128,68138) = 4642105664 / 2
LCM(68128,68138) = 2321052832

Least Common Multiple (LCM) of 68128 and 68138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68128 and 68138. First we will calculate the prime factors of 68128 and 68138.

Prime Factorization of 68128

Prime Factorization of 68138

Now multiplying the highest exponent prime factors to calculate the LCM of 68128 and 68138.

LCM(68128,68138) = 2⁵ × 2129¹ × 7¹ × 31¹ × 157¹
LCM(68128,68138) = 2321052832