What is the Least Common Multiple of 42078 and 42087?

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 42078 and 42087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42078 and 42087, than apply into the LCM equation.

GCF(42078,42087) = 3
LCM(42078,42087) = ( 42078 × 42087) / 3
LCM(42078,42087) = 1770936786 / 3
LCM(42078,42087) = 590312262

Least Common Multiple (LCM) of 42078 and 42087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42078 and 42087. First we will calculate the prime factors of 42078 and 42087.

Prime Factorization of 42078

Prime Factorization of 42087

Now multiplying the highest exponent prime factors to calculate the LCM of 42078 and 42087.

LCM(42078,42087) = 2¹ × 3¹ × 7013¹ × 14029¹
LCM(42078,42087) = 590312262