What is the Least Common Multiple of 36944 and 36961?

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 36944 and 36961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36944 and 36961, than apply into the LCM equation.

GCF(36944,36961) = 1
LCM(36944,36961) = ( 36944 × 36961) / 1
LCM(36944,36961) = 1365487184 / 1
LCM(36944,36961) = 1365487184

Least Common Multiple (LCM) of 36944 and 36961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36944 and 36961. First we will calculate the prime factors of 36944 and 36961.

Prime Factorization of 36944

Prime Factorization of 36961

Now multiplying the highest exponent prime factors to calculate the LCM of 36944 and 36961.

LCM(36944,36961) = 2⁴ × 2309¹ × 23¹ × 1607¹
LCM(36944,36961) = 1365487184