What is the Least Common Multiple of 68772 and 68790?

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 68772 and 68790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68772 and 68790, than apply into the LCM equation.

GCF(68772,68790) = 6
LCM(68772,68790) = ( 68772 × 68790) / 6
LCM(68772,68790) = 4730825880 / 6
LCM(68772,68790) = 788470980

Least Common Multiple (LCM) of 68772 and 68790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68772 and 68790. First we will calculate the prime factors of 68772 and 68790.

Prime Factorization of 68772

Prime Factorization of 68790

Now multiplying the highest exponent prime factors to calculate the LCM of 68772 and 68790.

LCM(68772,68790) = 2² × 3¹ × 11¹ × 521¹ × 5¹ × 2293¹
LCM(68772,68790) = 788470980