What is the Least Common Multiple of 78730 and 78742?

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 78730 and 78742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78730 and 78742, than apply into the LCM equation.

GCF(78730,78742) = 2
LCM(78730,78742) = ( 78730 × 78742) / 2
LCM(78730,78742) = 6199357660 / 2
LCM(78730,78742) = 3099678830

Least Common Multiple (LCM) of 78730 and 78742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78730 and 78742. First we will calculate the prime factors of 78730 and 78742.

Prime Factorization of 78730

Prime Factorization of 78742

Now multiplying the highest exponent prime factors to calculate the LCM of 78730 and 78742.

LCM(78730,78742) = 2¹ × 5¹ × 7873¹ × 39371¹
LCM(78730,78742) = 3099678830