What is the Least Common Multiple of 9749 and 9763?

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 9749 and 9763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9749 and 9763, than apply into the LCM equation.

GCF(9749,9763) = 1
LCM(9749,9763) = ( 9749 × 9763) / 1
LCM(9749,9763) = 95179487 / 1
LCM(9749,9763) = 95179487

Least Common Multiple (LCM) of 9749 and 9763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9749 and 9763. First we will calculate the prime factors of 9749 and 9763.

Prime Factorization of 9749

Prime Factorization of 9763

Now multiplying the highest exponent prime factors to calculate the LCM of 9749 and 9763.

LCM(9749,9763) = 9749¹ × 13¹ × 751¹
LCM(9749,9763) = 95179487