What is the Least Common Multiple of 17776 and 17788?

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 17776 and 17788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17776 and 17788, than apply into the LCM equation.

GCF(17776,17788) = 4
LCM(17776,17788) = ( 17776 × 17788) / 4
LCM(17776,17788) = 316199488 / 4
LCM(17776,17788) = 79049872

Least Common Multiple (LCM) of 17776 and 17788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17776 and 17788. First we will calculate the prime factors of 17776 and 17788.

Prime Factorization of 17776

Prime Factorization of 17788

Now multiplying the highest exponent prime factors to calculate the LCM of 17776 and 17788.

LCM(17776,17788) = 2⁴ × 11¹ × 101¹ × 4447¹
LCM(17776,17788) = 79049872