What is the Least Common Multiple of 17766 and 17776?

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 17766 and 17776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17766 and 17776, than apply into the LCM equation.

GCF(17766,17776) = 2
LCM(17766,17776) = ( 17766 × 17776) / 2
LCM(17766,17776) = 315808416 / 2
LCM(17766,17776) = 157904208

Least Common Multiple (LCM) of 17766 and 17776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17766 and 17776. First we will calculate the prime factors of 17766 and 17776.

Prime Factorization of 17766

Prime Factorization of 17776

Now multiplying the highest exponent prime factors to calculate the LCM of 17766 and 17776.

LCM(17766,17776) = 2⁴ × 3³ × 7¹ × 47¹ × 11¹ × 101¹
LCM(17766,17776) = 157904208