What is the Least Common Multiple of 45762 and 45774?

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 45762 and 45774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45762 and 45774, than apply into the LCM equation.

GCF(45762,45774) = 6
LCM(45762,45774) = ( 45762 × 45774) / 6
LCM(45762,45774) = 2094709788 / 6
LCM(45762,45774) = 349118298

Least Common Multiple (LCM) of 45762 and 45774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45762 and 45774. First we will calculate the prime factors of 45762 and 45774.

Prime Factorization of 45762

Prime Factorization of 45774

Now multiplying the highest exponent prime factors to calculate the LCM of 45762 and 45774.

LCM(45762,45774) = 2¹ × 3² × 29¹ × 263¹ × 2543¹
LCM(45762,45774) = 349118298