What is the Least Common Multiple of 47040 and 47060?

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 47060 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 47060, than apply into the LCM equation.

GCF(47040,47060) = 20
LCM(47040,47060) = ( 47040 × 47060) / 20
LCM(47040,47060) = 2213702400 / 20
LCM(47040,47060) = 110685120

Least Common Multiple (LCM) of 47040 and 47060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47040 and 47060. First we will calculate the prime factors of 47040 and 47060.

Prime Factorization of 47040

Prime Factorization of 47060

Now multiplying the highest exponent prime factors to calculate the LCM of 47040 and 47060.

LCM(47040,47060) = 2⁶ × 3¹ × 5¹ × 7² × 13¹ × 181¹
LCM(47040,47060) = 110685120