What is the Least Common Multiple of 42543 and 42548?

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 42543 and 42548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42543 and 42548, than apply into the LCM equation.

GCF(42543,42548) = 1
LCM(42543,42548) = ( 42543 × 42548) / 1
LCM(42543,42548) = 1810119564 / 1
LCM(42543,42548) = 1810119564

Least Common Multiple (LCM) of 42543 and 42548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42543 and 42548. First we will calculate the prime factors of 42543 and 42548.

Prime Factorization of 42543

Prime Factorization of 42548

Now multiplying the highest exponent prime factors to calculate the LCM of 42543 and 42548.

LCM(42543,42548) = 3² × 29¹ × 163¹ × 2² × 11¹ × 967¹
LCM(42543,42548) = 1810119564