What is the Least Common Multiple of 68744 and 68764?

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 68764 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 68764, than apply into the LCM equation.

GCF(68744,68764) = 4
LCM(68744,68764) = ( 68744 × 68764) / 4
LCM(68744,68764) = 4727112416 / 4
LCM(68744,68764) = 1181778104

Least Common Multiple (LCM) of 68744 and 68764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68744 and 68764. First we will calculate the prime factors of 68744 and 68764.

Prime Factorization of 68744

Prime Factorization of 68764

Now multiplying the highest exponent prime factors to calculate the LCM of 68744 and 68764.

LCM(68744,68764) = 2³ × 13¹ × 661¹ × 17191¹
LCM(68744,68764) = 1181778104