What is the Least Common Multiple of 4729 and 4741?

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 4729 and 4741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4729 and 4741, than apply into the LCM equation.

GCF(4729,4741) = 1
LCM(4729,4741) = ( 4729 × 4741) / 1
LCM(4729,4741) = 22420189 / 1
LCM(4729,4741) = 22420189

Least Common Multiple (LCM) of 4729 and 4741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4729 and 4741. First we will calculate the prime factors of 4729 and 4741.

Prime Factorization of 4729

Prime Factorization of 4741

Now multiplying the highest exponent prime factors to calculate the LCM of 4729 and 4741.

LCM(4729,4741) = 4729¹ × 11¹ × 431¹
LCM(4729,4741) = 22420189