What is the Least Common Multiple of 45768 and 45782?

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 45768 and 45782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45768 and 45782, than apply into the LCM equation.

GCF(45768,45782) = 2
LCM(45768,45782) = ( 45768 × 45782) / 2
LCM(45768,45782) = 2095350576 / 2
LCM(45768,45782) = 1047675288

Least Common Multiple (LCM) of 45768 and 45782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45768 and 45782. First we will calculate the prime factors of 45768 and 45782.

Prime Factorization of 45768

Prime Factorization of 45782

Now multiplying the highest exponent prime factors to calculate the LCM of 45768 and 45782.

LCM(45768,45782) = 2³ × 3¹ × 1907¹ × 11¹ × 2081¹
LCM(45768,45782) = 1047675288