What is the Least Common Multiple of 78229 and 78240?

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 78229 and 78240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78229 and 78240, than apply into the LCM equation.

GCF(78229,78240) = 1
LCM(78229,78240) = ( 78229 × 78240) / 1
LCM(78229,78240) = 6120636960 / 1
LCM(78229,78240) = 6120636960

Least Common Multiple (LCM) of 78229 and 78240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78229 and 78240. First we will calculate the prime factors of 78229 and 78240.

Prime Factorization of 78229

Prime Factorization of 78240

Now multiplying the highest exponent prime factors to calculate the LCM of 78229 and 78240.

LCM(78229,78240) = 78229¹ × 2⁵ × 3¹ × 5¹ × 163¹
LCM(78229,78240) = 6120636960