What is the Least Common Multiple of 37983 and 38002?

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 37983 and 38002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37983 and 38002, than apply into the LCM equation.

GCF(37983,38002) = 1
LCM(37983,38002) = ( 37983 × 38002) / 1
LCM(37983,38002) = 1443429966 / 1
LCM(37983,38002) = 1443429966

Least Common Multiple (LCM) of 37983 and 38002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37983 and 38002. First we will calculate the prime factors of 37983 and 38002.

Prime Factorization of 37983

Prime Factorization of 38002

Now multiplying the highest exponent prime factors to calculate the LCM of 37983 and 38002.

LCM(37983,38002) = 3¹ × 11¹ × 1151¹ × 2¹ × 19001¹
LCM(37983,38002) = 1443429966