What is the Least Common Multiple of 4711 and 4721?

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 4711 and 4721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4711 and 4721, than apply into the LCM equation.

GCF(4711,4721) = 1
LCM(4711,4721) = ( 4711 × 4721) / 1
LCM(4711,4721) = 22240631 / 1
LCM(4711,4721) = 22240631

Least Common Multiple (LCM) of 4711 and 4721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4711 and 4721. First we will calculate the prime factors of 4711 and 4721.

Prime Factorization of 4711

Prime Factorization of 4721

Now multiplying the highest exponent prime factors to calculate the LCM of 4711 and 4721.

LCM(4711,4721) = 7¹ × 673¹ × 4721¹
LCM(4711,4721) = 22240631