What is the Least Common Multiple of 72230 and 72238?

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 72230 and 72238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72230 and 72238, than apply into the LCM equation.

GCF(72230,72238) = 2
LCM(72230,72238) = ( 72230 × 72238) / 2
LCM(72230,72238) = 5217750740 / 2
LCM(72230,72238) = 2608875370

Least Common Multiple (LCM) of 72230 and 72238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72230 and 72238. First we will calculate the prime factors of 72230 and 72238.

Prime Factorization of 72230

Prime Factorization of 72238

Now multiplying the highest exponent prime factors to calculate the LCM of 72230 and 72238.

LCM(72230,72238) = 2¹ × 5¹ × 31¹ × 233¹ × 19¹ × 1901¹
LCM(72230,72238) = 2608875370