What is the Least Common Multiple of 47040 and 47058?

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 47058 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 47058, than apply into the LCM equation.

GCF(47040,47058) = 6
LCM(47040,47058) = ( 47040 × 47058) / 6
LCM(47040,47058) = 2213608320 / 6
LCM(47040,47058) = 368934720

Least Common Multiple (LCM) of 47040 and 47058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47040 and 47058. First we will calculate the prime factors of 47040 and 47058.

Prime Factorization of 47040

Prime Factorization of 47058

Now multiplying the highest exponent prime factors to calculate the LCM of 47040 and 47058.

LCM(47040,47058) = 2⁶ × 3¹ × 5¹ × 7² × 11¹ × 23¹ × 31¹
LCM(47040,47058) = 368934720