What is the Least Common Multiple of 45830 and 45840?

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 45830 and 45840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45830 and 45840, than apply into the LCM equation.

GCF(45830,45840) = 10
LCM(45830,45840) = ( 45830 × 45840) / 10
LCM(45830,45840) = 2100847200 / 10
LCM(45830,45840) = 210084720

Least Common Multiple (LCM) of 45830 and 45840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45830 and 45840. First we will calculate the prime factors of 45830 and 45840.

Prime Factorization of 45830

Prime Factorization of 45840

Now multiplying the highest exponent prime factors to calculate the LCM of 45830 and 45840.

LCM(45830,45840) = 2⁴ × 5¹ × 4583¹ × 3¹ × 191¹
LCM(45830,45840) = 210084720