What is the Least Common Multiple of 47040 and 47049?

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 47040 and 47049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47040 and 47049, than apply into the LCM equation.

GCF(47040,47049) = 3
LCM(47040,47049) = ( 47040 × 47049) / 3
LCM(47040,47049) = 2213184960 / 3
LCM(47040,47049) = 737728320

Least Common Multiple (LCM) of 47040 and 47049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47040 and 47049. First we will calculate the prime factors of 47040 and 47049.

Prime Factorization of 47040

Prime Factorization of 47049

Now multiplying the highest exponent prime factors to calculate the LCM of 47040 and 47049.

LCM(47040,47049) = 2⁶ × 3¹ × 5¹ × 7² × 15683¹
LCM(47040,47049) = 737728320