What is the Least Common Multiple of 40830 and 40845?

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 40830 and 40845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40830 and 40845, than apply into the LCM equation.

GCF(40830,40845) = 15
LCM(40830,40845) = ( 40830 × 40845) / 15
LCM(40830,40845) = 1667701350 / 15
LCM(40830,40845) = 111180090

Least Common Multiple (LCM) of 40830 and 40845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40830 and 40845. First we will calculate the prime factors of 40830 and 40845.

Prime Factorization of 40830

Prime Factorization of 40845

Now multiplying the highest exponent prime factors to calculate the LCM of 40830 and 40845.

LCM(40830,40845) = 2¹ × 3¹ × 5¹ × 1361¹ × 7¹ × 389¹
LCM(40830,40845) = 111180090