What is the Least Common Multiple of 68684 and 68702?

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 68684 and 68702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68684 and 68702, than apply into the LCM equation.

GCF(68684,68702) = 2
LCM(68684,68702) = ( 68684 × 68702) / 2
LCM(68684,68702) = 4718728168 / 2
LCM(68684,68702) = 2359364084

Least Common Multiple (LCM) of 68684 and 68702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68684 and 68702. First we will calculate the prime factors of 68684 and 68702.

Prime Factorization of 68684

Prime Factorization of 68702

Now multiplying the highest exponent prime factors to calculate the LCM of 68684 and 68702.

LCM(68684,68702) = 2² × 7¹ × 11¹ × 223¹ × 34351¹
LCM(68684,68702) = 2359364084