What is the Least Common Multiple of 42771 and 42790?

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 42771 and 42790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42771 and 42790, than apply into the LCM equation.

GCF(42771,42790) = 1
LCM(42771,42790) = ( 42771 × 42790) / 1
LCM(42771,42790) = 1830171090 / 1
LCM(42771,42790) = 1830171090

Least Common Multiple (LCM) of 42771 and 42790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42771 and 42790. First we will calculate the prime factors of 42771 and 42790.

Prime Factorization of 42771

Prime Factorization of 42790

Now multiplying the highest exponent prime factors to calculate the LCM of 42771 and 42790.

LCM(42771,42790) = 3¹ × 53¹ × 269¹ × 2¹ × 5¹ × 11¹ × 389¹
LCM(42771,42790) = 1830171090