What is the Least Common Multiple of 45768 and 45781?

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 45781 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 45781, than apply into the LCM equation.

GCF(45768,45781) = 1
LCM(45768,45781) = ( 45768 × 45781) / 1
LCM(45768,45781) = 2095304808 / 1
LCM(45768,45781) = 2095304808

Least Common Multiple (LCM) of 45768 and 45781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45768 and 45781. First we will calculate the prime factors of 45768 and 45781.

Prime Factorization of 45768

Prime Factorization of 45781

Now multiplying the highest exponent prime factors to calculate the LCM of 45768 and 45781.

LCM(45768,45781) = 2³ × 3¹ × 1907¹ × 17¹ × 2693¹
LCM(45768,45781) = 2095304808