What is the Least Common Multiple of 68140 and 68147?

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 68140 and 68147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68140 and 68147, than apply into the LCM equation.

GCF(68140,68147) = 1
LCM(68140,68147) = ( 68140 × 68147) / 1
LCM(68140,68147) = 4643536580 / 1
LCM(68140,68147) = 4643536580

Least Common Multiple (LCM) of 68140 and 68147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68140 and 68147. First we will calculate the prime factors of 68140 and 68147.

Prime Factorization of 68140

Prime Factorization of 68147

Now multiplying the highest exponent prime factors to calculate the LCM of 68140 and 68147.

LCM(68140,68147) = 2² × 5¹ × 3407¹ × 68147¹
LCM(68140,68147) = 4643536580