What is the Least Common Multiple of 42984 and 43004?

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 42984 and 43004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42984 and 43004, than apply into the LCM equation.

GCF(42984,43004) = 4
LCM(42984,43004) = ( 42984 × 43004) / 4
LCM(42984,43004) = 1848483936 / 4
LCM(42984,43004) = 462120984

Least Common Multiple (LCM) of 42984 and 43004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42984 and 43004. First we will calculate the prime factors of 42984 and 43004.

Prime Factorization of 42984

Prime Factorization of 43004

Now multiplying the highest exponent prime factors to calculate the LCM of 42984 and 43004.

LCM(42984,43004) = 2³ × 3³ × 199¹ × 13¹ × 827¹
LCM(42984,43004) = 462120984