What is the Least Common Multiple of 75854 and 75869?

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 75854 and 75869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75854 and 75869, than apply into the LCM equation.

GCF(75854,75869) = 1
LCM(75854,75869) = ( 75854 × 75869) / 1
LCM(75854,75869) = 5754967126 / 1
LCM(75854,75869) = 5754967126

Least Common Multiple (LCM) of 75854 and 75869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75854 and 75869. First we will calculate the prime factors of 75854 and 75869.

Prime Factorization of 75854

Prime Factorization of 75869

Now multiplying the highest exponent prime factors to calculate the LCM of 75854 and 75869.

LCM(75854,75869) = 2¹ × 17¹ × 23¹ × 97¹ × 75869¹
LCM(75854,75869) = 5754967126