What is the Least Common Multiple of 76760 and 76774?

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 76760 and 76774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76760 and 76774, than apply into the LCM equation.

GCF(76760,76774) = 2
LCM(76760,76774) = ( 76760 × 76774) / 2
LCM(76760,76774) = 5893172240 / 2
LCM(76760,76774) = 2946586120

Least Common Multiple (LCM) of 76760 and 76774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76760 and 76774. First we will calculate the prime factors of 76760 and 76774.

Prime Factorization of 76760

Prime Factorization of 76774

Now multiplying the highest exponent prime factors to calculate the LCM of 76760 and 76774.

LCM(76760,76774) = 2³ × 5¹ × 19¹ × 101¹ × 23¹ × 1669¹
LCM(76760,76774) = 2946586120