What is the Least Common Multiple of 72230 and 72249?

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 72249 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 72249, than apply into the LCM equation.

GCF(72230,72249) = 1
LCM(72230,72249) = ( 72230 × 72249) / 1
LCM(72230,72249) = 5218545270 / 1
LCM(72230,72249) = 5218545270

Least Common Multiple (LCM) of 72230 and 72249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72230 and 72249. First we will calculate the prime factors of 72230 and 72249.

Prime Factorization of 72230

Prime Factorization of 72249

Now multiplying the highest exponent prime factors to calculate the LCM of 72230 and 72249.

LCM(72230,72249) = 2¹ × 5¹ × 31¹ × 233¹ × 3¹ × 24083¹
LCM(72230,72249) = 5218545270