What is the Least Common Multiple of 9741 and 9759?

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 9741 and 9759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9741 and 9759, than apply into the LCM equation.

GCF(9741,9759) = 3
LCM(9741,9759) = ( 9741 × 9759) / 3
LCM(9741,9759) = 95062419 / 3
LCM(9741,9759) = 31687473

Least Common Multiple (LCM) of 9741 and 9759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9741 and 9759. First we will calculate the prime factors of 9741 and 9759.

Prime Factorization of 9741

Prime Factorization of 9759

Now multiplying the highest exponent prime factors to calculate the LCM of 9741 and 9759.

LCM(9741,9759) = 3¹ × 17¹ × 191¹ × 3253¹
LCM(9741,9759) = 31687473