What is the Least Common Multiple of 68679 and 68683?

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 68679 and 68683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68679 and 68683, than apply into the LCM equation.

GCF(68679,68683) = 1
LCM(68679,68683) = ( 68679 × 68683) / 1
LCM(68679,68683) = 4717079757 / 1
LCM(68679,68683) = 4717079757

Least Common Multiple (LCM) of 68679 and 68683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68679 and 68683. First we will calculate the prime factors of 68679 and 68683.

Prime Factorization of 68679

Prime Factorization of 68683

Now multiplying the highest exponent prime factors to calculate the LCM of 68679 and 68683.

LCM(68679,68683) = 3² × 13¹ × 587¹ × 68683¹
LCM(68679,68683) = 4717079757