What is the Least Common Multiple of 42541 and 42558?

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 42541 and 42558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42541 and 42558, than apply into the LCM equation.

GCF(42541,42558) = 1
LCM(42541,42558) = ( 42541 × 42558) / 1
LCM(42541,42558) = 1810459878 / 1
LCM(42541,42558) = 1810459878

Least Common Multiple (LCM) of 42541 and 42558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42541 and 42558. First we will calculate the prime factors of 42541 and 42558.

Prime Factorization of 42541

Prime Factorization of 42558

Now multiplying the highest exponent prime factors to calculate the LCM of 42541 and 42558.

LCM(42541,42558) = 19¹ × 2239¹ × 2¹ × 3¹ × 41¹ × 173¹
LCM(42541,42558) = 1810459878