What is the Least Common Multiple of 68910 and 68926?

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 68910 and 68926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68910 and 68926, than apply into the LCM equation.

GCF(68910,68926) = 2
LCM(68910,68926) = ( 68910 × 68926) / 2
LCM(68910,68926) = 4749690660 / 2
LCM(68910,68926) = 2374845330

Least Common Multiple (LCM) of 68910 and 68926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68910 and 68926. First we will calculate the prime factors of 68910 and 68926.

Prime Factorization of 68910

Prime Factorization of 68926

Now multiplying the highest exponent prime factors to calculate the LCM of 68910 and 68926.

LCM(68910,68926) = 2¹ × 3¹ × 5¹ × 2297¹ × 11¹ × 13¹ × 241¹
LCM(68910,68926) = 2374845330