What is the Least Common Multiple of 45786 and 45796?

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 45786 and 45796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45786 and 45796, than apply into the LCM equation.

GCF(45786,45796) = 2
LCM(45786,45796) = ( 45786 × 45796) / 2
LCM(45786,45796) = 2096815656 / 2
LCM(45786,45796) = 1048407828

Least Common Multiple (LCM) of 45786 and 45796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45786 and 45796. First we will calculate the prime factors of 45786 and 45796.

Prime Factorization of 45786

Prime Factorization of 45796

Now multiplying the highest exponent prime factors to calculate the LCM of 45786 and 45796.

LCM(45786,45796) = 2² × 3¹ × 13¹ × 587¹ × 107²
LCM(45786,45796) = 1048407828