What is the Least Common Multiple of 9760 and 9764?

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 9760 and 9764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9760 and 9764, than apply into the LCM equation.

GCF(9760,9764) = 4
LCM(9760,9764) = ( 9760 × 9764) / 4
LCM(9760,9764) = 95296640 / 4
LCM(9760,9764) = 23824160

Least Common Multiple (LCM) of 9760 and 9764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9764. First we will calculate the prime factors of 9760 and 9764.

Prime Factorization of 9760

Prime Factorization of 9764

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9764.

LCM(9760,9764) = 2⁵ × 5¹ × 61¹ × 2441¹
LCM(9760,9764) = 23824160