What is the Least Common Multiple of 78538 and 78550?

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 78538 and 78550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78538 and 78550, than apply into the LCM equation.

GCF(78538,78550) = 2
LCM(78538,78550) = ( 78538 × 78550) / 2
LCM(78538,78550) = 6169159900 / 2
LCM(78538,78550) = 3084579950

Least Common Multiple (LCM) of 78538 and 78550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78538 and 78550. First we will calculate the prime factors of 78538 and 78550.

Prime Factorization of 78538

Prime Factorization of 78550

Now multiplying the highest exponent prime factors to calculate the LCM of 78538 and 78550.

LCM(78538,78550) = 2¹ × 107¹ × 367¹ × 5² × 1571¹
LCM(78538,78550) = 3084579950