What is the Least Common Multiple of 36966 and 36983?

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 36966 and 36983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36966 and 36983, than apply into the LCM equation.

GCF(36966,36983) = 1
LCM(36966,36983) = ( 36966 × 36983) / 1
LCM(36966,36983) = 1367113578 / 1
LCM(36966,36983) = 1367113578

Least Common Multiple (LCM) of 36966 and 36983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36966 and 36983. First we will calculate the prime factors of 36966 and 36983.

Prime Factorization of 36966

Prime Factorization of 36983

Now multiplying the highest exponent prime factors to calculate the LCM of 36966 and 36983.

LCM(36966,36983) = 2¹ × 3¹ × 61¹ × 101¹ × 31¹ × 1193¹
LCM(36966,36983) = 1367113578