What is the Least Common Multiple of 37966 and 37984?

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 37966 and 37984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37966 and 37984, than apply into the LCM equation.

GCF(37966,37984) = 2
LCM(37966,37984) = ( 37966 × 37984) / 2
LCM(37966,37984) = 1442100544 / 2
LCM(37966,37984) = 721050272

Least Common Multiple (LCM) of 37966 and 37984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37966 and 37984. First we will calculate the prime factors of 37966 and 37984.

Prime Factorization of 37966

Prime Factorization of 37984

Now multiplying the highest exponent prime factors to calculate the LCM of 37966 and 37984.

LCM(37966,37984) = 2⁵ × 41¹ × 463¹ × 1187¹
LCM(37966,37984) = 721050272