What is the Least Common Multiple of 81760 and 81774?

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 81760 and 81774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81760 and 81774, than apply into the LCM equation.

GCF(81760,81774) = 14
LCM(81760,81774) = ( 81760 × 81774) / 14
LCM(81760,81774) = 6685842240 / 14
LCM(81760,81774) = 477560160

Least Common Multiple (LCM) of 81760 and 81774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81760 and 81774. First we will calculate the prime factors of 81760 and 81774.

Prime Factorization of 81760

Prime Factorization of 81774

Now multiplying the highest exponent prime factors to calculate the LCM of 81760 and 81774.

LCM(81760,81774) = 2⁵ × 5¹ × 7¹ × 73¹ × 3² × 11¹ × 59¹
LCM(81760,81774) = 477560160