What is the Least Common Multiple of 36740 and 36745?

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 36740 and 36745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36740 and 36745, than apply into the LCM equation.

GCF(36740,36745) = 5
LCM(36740,36745) = ( 36740 × 36745) / 5
LCM(36740,36745) = 1350011300 / 5
LCM(36740,36745) = 270002260

Least Common Multiple (LCM) of 36740 and 36745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36740 and 36745. First we will calculate the prime factors of 36740 and 36745.

Prime Factorization of 36740

Prime Factorization of 36745

Now multiplying the highest exponent prime factors to calculate the LCM of 36740 and 36745.

LCM(36740,36745) = 2² × 5¹ × 11¹ × 167¹ × 7349¹
LCM(36740,36745) = 270002260