What is the Least Common Multiple of 36840 and 36849?

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 36840 and 36849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36840 and 36849, than apply into the LCM equation.

GCF(36840,36849) = 3
LCM(36840,36849) = ( 36840 × 36849) / 3
LCM(36840,36849) = 1357517160 / 3
LCM(36840,36849) = 452505720

Least Common Multiple (LCM) of 36840 and 36849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36840 and 36849. First we will calculate the prime factors of 36840 and 36849.

Prime Factorization of 36840

Prime Factorization of 36849

Now multiplying the highest exponent prime factors to calculate the LCM of 36840 and 36849.

LCM(36840,36849) = 2³ × 3¹ × 5¹ × 307¹ × 71¹ × 173¹
LCM(36840,36849) = 452505720