What is the Least Common Multiple of 72430 and 72447?

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 72430 and 72447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72430 and 72447, than apply into the LCM equation.

GCF(72430,72447) = 1
LCM(72430,72447) = ( 72430 × 72447) / 1
LCM(72430,72447) = 5247336210 / 1
LCM(72430,72447) = 5247336210

Least Common Multiple (LCM) of 72430 and 72447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72430 and 72447. First we will calculate the prime factors of 72430 and 72447.

Prime Factorization of 72430

Prime Factorization of 72447

Now multiplying the highest exponent prime factors to calculate the LCM of 72430 and 72447.

LCM(72430,72447) = 2¹ × 5¹ × 7243¹ × 3¹ × 19¹ × 31¹ × 41¹
LCM(72430,72447) = 5247336210