What is the Least Common Multiple of 68780 and 68792?

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 68780 and 68792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68780 and 68792, than apply into the LCM equation.

GCF(68780,68792) = 4
LCM(68780,68792) = ( 68780 × 68792) / 4
LCM(68780,68792) = 4731513760 / 4
LCM(68780,68792) = 1182878440

Least Common Multiple (LCM) of 68780 and 68792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68780 and 68792. First we will calculate the prime factors of 68780 and 68792.

Prime Factorization of 68780

Prime Factorization of 68792

Now multiplying the highest exponent prime factors to calculate the LCM of 68780 and 68792.

LCM(68780,68792) = 2³ × 5¹ × 19¹ × 181¹ × 8599¹
LCM(68780,68792) = 1182878440