What is the Least Common Multiple of 45840 and 45850?

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 45840 and 45850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45840 and 45850, than apply into the LCM equation.

GCF(45840,45850) = 10
LCM(45840,45850) = ( 45840 × 45850) / 10
LCM(45840,45850) = 2101764000 / 10
LCM(45840,45850) = 210176400

Least Common Multiple (LCM) of 45840 and 45850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45840 and 45850. First we will calculate the prime factors of 45840 and 45850.

Prime Factorization of 45840

Prime Factorization of 45850

Now multiplying the highest exponent prime factors to calculate the LCM of 45840 and 45850.

LCM(45840,45850) = 2⁴ × 3¹ × 5² × 191¹ × 7¹ × 131¹
LCM(45840,45850) = 210176400