What is the Least Common Multiple of 47240 and 47245?

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 47240 and 47245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47240 and 47245, than apply into the LCM equation.

GCF(47240,47245) = 5
LCM(47240,47245) = ( 47240 × 47245) / 5
LCM(47240,47245) = 2231853800 / 5
LCM(47240,47245) = 446370760

Least Common Multiple (LCM) of 47240 and 47245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47240 and 47245. First we will calculate the prime factors of 47240 and 47245.

Prime Factorization of 47240

Prime Factorization of 47245

Now multiplying the highest exponent prime factors to calculate the LCM of 47240 and 47245.

LCM(47240,47245) = 2³ × 5¹ × 1181¹ × 11¹ × 859¹
LCM(47240,47245) = 446370760