What is the Least Common Multiple of 42745 and 42751?

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 42745 and 42751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42745 and 42751, than apply into the LCM equation.

GCF(42745,42751) = 1
LCM(42745,42751) = ( 42745 × 42751) / 1
LCM(42745,42751) = 1827391495 / 1
LCM(42745,42751) = 1827391495

Least Common Multiple (LCM) of 42745 and 42751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42745 and 42751. First we will calculate the prime factors of 42745 and 42751.

Prime Factorization of 42745

Prime Factorization of 42751

Now multiplying the highest exponent prime factors to calculate the LCM of 42745 and 42751.

LCM(42745,42751) = 5¹ × 83¹ × 103¹ × 42751¹
LCM(42745,42751) = 1827391495