What is the Least Common Multiple of 42138 and 42143?

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 42138 and 42143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42138 and 42143, than apply into the LCM equation.

GCF(42138,42143) = 1
LCM(42138,42143) = ( 42138 × 42143) / 1
LCM(42138,42143) = 1775821734 / 1
LCM(42138,42143) = 1775821734

Least Common Multiple (LCM) of 42138 and 42143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42138 and 42143. First we will calculate the prime factors of 42138 and 42143.

Prime Factorization of 42138

Prime Factorization of 42143

Now multiplying the highest exponent prime factors to calculate the LCM of 42138 and 42143.

LCM(42138,42143) = 2¹ × 3² × 2341¹ × 17¹ × 37¹ × 67¹
LCM(42138,42143) = 1775821734