What is the Least Common Multiple of 78216 and 78224?

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 78216 and 78224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78216 and 78224, than apply into the LCM equation.

GCF(78216,78224) = 8
LCM(78216,78224) = ( 78216 × 78224) / 8
LCM(78216,78224) = 6118368384 / 8
LCM(78216,78224) = 764796048

Least Common Multiple (LCM) of 78216 and 78224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78216 and 78224. First we will calculate the prime factors of 78216 and 78224.

Prime Factorization of 78216

Prime Factorization of 78224

Now multiplying the highest exponent prime factors to calculate the LCM of 78216 and 78224.

LCM(78216,78224) = 2⁴ × 3¹ × 3259¹ × 4889¹
LCM(78216,78224) = 764796048