What is the Least Common Multiple of 41982 and 42002?

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 41982 and 42002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41982 and 42002, than apply into the LCM equation.

GCF(41982,42002) = 2
LCM(41982,42002) = ( 41982 × 42002) / 2
LCM(41982,42002) = 1763327964 / 2
LCM(41982,42002) = 881663982

Least Common Multiple (LCM) of 41982 and 42002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41982 and 42002. First we will calculate the prime factors of 41982 and 42002.

Prime Factorization of 41982

Prime Factorization of 42002

Now multiplying the highest exponent prime factors to calculate the LCM of 41982 and 42002.

LCM(41982,42002) = 2¹ × 3¹ × 6997¹ × 21001¹
LCM(41982,42002) = 881663982