What is the Least Common Multiple of 36970 and 36982?

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 36982 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 36982, than apply into the LCM equation.

GCF(36970,36982) = 2
LCM(36970,36982) = ( 36970 × 36982) / 2
LCM(36970,36982) = 1367224540 / 2
LCM(36970,36982) = 683612270

Least Common Multiple (LCM) of 36970 and 36982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36970 and 36982. First we will calculate the prime factors of 36970 and 36982.

Prime Factorization of 36970

Prime Factorization of 36982

Now multiplying the highest exponent prime factors to calculate the LCM of 36970 and 36982.

LCM(36970,36982) = 2¹ × 5¹ × 3697¹ × 11¹ × 41²
LCM(36970,36982) = 683612270