What is the Least Common Multiple of 47013 and 47033?

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 47013 and 47033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47013 and 47033, than apply into the LCM equation.

GCF(47013,47033) = 1
LCM(47013,47033) = ( 47013 × 47033) / 1
LCM(47013,47033) = 2211162429 / 1
LCM(47013,47033) = 2211162429

Least Common Multiple (LCM) of 47013 and 47033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47013 and 47033. First we will calculate the prime factors of 47013 and 47033.

Prime Factorization of 47013

Prime Factorization of 47033

Now multiplying the highest exponent prime factors to calculate the LCM of 47013 and 47033.

LCM(47013,47033) = 3¹ × 15671¹ × 7¹ × 6719¹
LCM(47013,47033) = 2211162429