What is the Least Common Multiple of 45825 and 45831?

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 45825 and 45831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45825 and 45831, than apply into the LCM equation.

GCF(45825,45831) = 3
LCM(45825,45831) = ( 45825 × 45831) / 3
LCM(45825,45831) = 2100205575 / 3
LCM(45825,45831) = 700068525

Least Common Multiple (LCM) of 45825 and 45831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45825 and 45831. First we will calculate the prime factors of 45825 and 45831.

Prime Factorization of 45825

Prime Factorization of 45831

Now multiplying the highest exponent prime factors to calculate the LCM of 45825 and 45831.

LCM(45825,45831) = 3¹ × 5² × 13¹ × 47¹ × 15277¹
LCM(45825,45831) = 700068525