What is the Least Common Multiple of 68704 and 68722?

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 68704 and 68722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68704 and 68722, than apply into the LCM equation.

GCF(68704,68722) = 2
LCM(68704,68722) = ( 68704 × 68722) / 2
LCM(68704,68722) = 4721476288 / 2
LCM(68704,68722) = 2360738144

Least Common Multiple (LCM) of 68704 and 68722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68704 and 68722. First we will calculate the prime factors of 68704 and 68722.

Prime Factorization of 68704

Prime Factorization of 68722

Now multiplying the highest exponent prime factors to calculate the LCM of 68704 and 68722.

LCM(68704,68722) = 2⁵ × 19¹ × 113¹ × 34361¹
LCM(68704,68722) = 2360738144