What is the Least Common Multiple of 68355 and 68374?

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 68355 and 68374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68355 and 68374, than apply into the LCM equation.

GCF(68355,68374) = 1
LCM(68355,68374) = ( 68355 × 68374) / 1
LCM(68355,68374) = 4673704770 / 1
LCM(68355,68374) = 4673704770

Least Common Multiple (LCM) of 68355 and 68374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68355 and 68374. First we will calculate the prime factors of 68355 and 68374.

Prime Factorization of 68355

Prime Factorization of 68374

Now multiplying the highest exponent prime factors to calculate the LCM of 68355 and 68374.

LCM(68355,68374) = 3² × 5¹ × 7² × 31¹ × 2¹ × 17¹ × 2011¹
LCM(68355,68374) = 4673704770