What is the Least Common Multiple of 39987 and 40002?

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 39987 and 40002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39987 and 40002, than apply into the LCM equation.

GCF(39987,40002) = 3
LCM(39987,40002) = ( 39987 × 40002) / 3
LCM(39987,40002) = 1599559974 / 3
LCM(39987,40002) = 533186658

Least Common Multiple (LCM) of 39987 and 40002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39987 and 40002. First we will calculate the prime factors of 39987 and 40002.

Prime Factorization of 39987

Prime Factorization of 40002

Now multiplying the highest exponent prime factors to calculate the LCM of 39987 and 40002.

LCM(39987,40002) = 3³ × 1481¹ × 2¹ × 59¹ × 113¹
LCM(39987,40002) = 533186658