What is the Least Common Multiple of 42987 and 43001?

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 42987 and 43001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42987 and 43001, than apply into the LCM equation.

GCF(42987,43001) = 7
LCM(42987,43001) = ( 42987 × 43001) / 7
LCM(42987,43001) = 1848483987 / 7
LCM(42987,43001) = 264069141

Least Common Multiple (LCM) of 42987 and 43001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42987 and 43001. First we will calculate the prime factors of 42987 and 43001.

Prime Factorization of 42987

Prime Factorization of 43001

Now multiplying the highest exponent prime factors to calculate the LCM of 42987 and 43001.

LCM(42987,43001) = 3¹ × 7¹ × 23¹ × 89¹ × 6143¹
LCM(42987,43001) = 264069141