What is the Least Common Multiple of 78730 and 78737?

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 78737 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 78737, than apply into the LCM equation.

GCF(78730,78737) = 1
LCM(78730,78737) = ( 78730 × 78737) / 1
LCM(78730,78737) = 6198964010 / 1
LCM(78730,78737) = 6198964010

Least Common Multiple (LCM) of 78730 and 78737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78730 and 78737. First we will calculate the prime factors of 78730 and 78737.

Prime Factorization of 78730

Prime Factorization of 78737

Now multiplying the highest exponent prime factors to calculate the LCM of 78730 and 78737.

LCM(78730,78737) = 2¹ × 5¹ × 7873¹ × 78737¹
LCM(78730,78737) = 6198964010