What is the Least Common Multiple of 36970 and 36985?

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 36970 and 36985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36970 and 36985, than apply into the LCM equation.

GCF(36970,36985) = 5
LCM(36970,36985) = ( 36970 × 36985) / 5
LCM(36970,36985) = 1367335450 / 5
LCM(36970,36985) = 273467090

Least Common Multiple (LCM) of 36970 and 36985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36970 and 36985. First we will calculate the prime factors of 36970 and 36985.

Prime Factorization of 36970

Prime Factorization of 36985

Now multiplying the highest exponent prime factors to calculate the LCM of 36970 and 36985.

LCM(36970,36985) = 2¹ × 5¹ × 3697¹ × 13¹ × 569¹
LCM(36970,36985) = 273467090