What is the Least Common Multiple of 68716 and 68734?

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 68716 and 68734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68716 and 68734, than apply into the LCM equation.

GCF(68716,68734) = 2
LCM(68716,68734) = ( 68716 × 68734) / 2
LCM(68716,68734) = 4723125544 / 2
LCM(68716,68734) = 2361562772

Least Common Multiple (LCM) of 68716 and 68734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68716 and 68734. First we will calculate the prime factors of 68716 and 68734.

Prime Factorization of 68716

Prime Factorization of 68734

Now multiplying the highest exponent prime factors to calculate the LCM of 68716 and 68734.

LCM(68716,68734) = 2² × 41¹ × 419¹ × 34367¹
LCM(68716,68734) = 2361562772