What is the Least Common Multiple of 9760 and 9778?

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 9778 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 9778, than apply into the LCM equation.

GCF(9760,9778) = 2
LCM(9760,9778) = ( 9760 × 9778) / 2
LCM(9760,9778) = 95433280 / 2
LCM(9760,9778) = 47716640

Least Common Multiple (LCM) of 9760 and 9778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9778. First we will calculate the prime factors of 9760 and 9778.

Prime Factorization of 9760

Prime Factorization of 9778

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9778.

LCM(9760,9778) = 2⁵ × 5¹ × 61¹ × 4889¹
LCM(9760,9778) = 47716640