What is the Least Common Multiple of 68744 and 68752?

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 68744 and 68752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68744 and 68752, than apply into the LCM equation.

GCF(68744,68752) = 8
LCM(68744,68752) = ( 68744 × 68752) / 8
LCM(68744,68752) = 4726287488 / 8
LCM(68744,68752) = 590785936

Least Common Multiple (LCM) of 68744 and 68752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68744 and 68752. First we will calculate the prime factors of 68744 and 68752.

Prime Factorization of 68744

Prime Factorization of 68752

Now multiplying the highest exponent prime factors to calculate the LCM of 68744 and 68752.

LCM(68744,68752) = 2⁴ × 13¹ × 661¹ × 4297¹
LCM(68744,68752) = 590785936