What is the Least Common Multiple of 78200 and 78216?

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 78200 and 78216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78200 and 78216, than apply into the LCM equation.

GCF(78200,78216) = 8
LCM(78200,78216) = ( 78200 × 78216) / 8
LCM(78200,78216) = 6116491200 / 8
LCM(78200,78216) = 764561400

Least Common Multiple (LCM) of 78200 and 78216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78200 and 78216. First we will calculate the prime factors of 78200 and 78216.

Prime Factorization of 78200

Prime Factorization of 78216

Now multiplying the highest exponent prime factors to calculate the LCM of 78200 and 78216.

LCM(78200,78216) = 2³ × 5² × 17¹ × 23¹ × 3¹ × 3259¹
LCM(78200,78216) = 764561400