What is the Least Common Multiple of 9776 and 9794?

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 9776 and 9794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9776 and 9794, than apply into the LCM equation.

GCF(9776,9794) = 2
LCM(9776,9794) = ( 9776 × 9794) / 2
LCM(9776,9794) = 95746144 / 2
LCM(9776,9794) = 47873072

Least Common Multiple (LCM) of 9776 and 9794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9776 and 9794. First we will calculate the prime factors of 9776 and 9794.

Prime Factorization of 9776

Prime Factorization of 9794

Now multiplying the highest exponent prime factors to calculate the LCM of 9776 and 9794.

LCM(9776,9794) = 2⁴ × 13¹ × 47¹ × 59¹ × 83¹
LCM(9776,9794) = 47873072