What is the Least Common Multiple of 9760 and 9770?

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 9770 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 9770, than apply into the LCM equation.

GCF(9760,9770) = 10
LCM(9760,9770) = ( 9760 × 9770) / 10
LCM(9760,9770) = 95355200 / 10
LCM(9760,9770) = 9535520

Least Common Multiple (LCM) of 9760 and 9770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9770. First we will calculate the prime factors of 9760 and 9770.

Prime Factorization of 9760

Prime Factorization of 9770

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9770.

LCM(9760,9770) = 2⁵ × 5¹ × 61¹ × 977¹
LCM(9760,9770) = 9535520