What is the Least Common Multiple of 65220 and 65238?

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 65220 and 65238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65220 and 65238, than apply into the LCM equation.

GCF(65220,65238) = 6
LCM(65220,65238) = ( 65220 × 65238) / 6
LCM(65220,65238) = 4254822360 / 6
LCM(65220,65238) = 709137060

Least Common Multiple (LCM) of 65220 and 65238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65220 and 65238. First we will calculate the prime factors of 65220 and 65238.

Prime Factorization of 65220

Prime Factorization of 65238

Now multiplying the highest exponent prime factors to calculate the LCM of 65220 and 65238.

LCM(65220,65238) = 2² × 3¹ × 5¹ × 1087¹ × 83¹ × 131¹
LCM(65220,65238) = 709137060