What is the Least Common Multiple of 75945 and 75961?

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 75945 and 75961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75945 and 75961, than apply into the LCM equation.

GCF(75945,75961) = 1
LCM(75945,75961) = ( 75945 × 75961) / 1
LCM(75945,75961) = 5768858145 / 1
LCM(75945,75961) = 5768858145

Least Common Multiple (LCM) of 75945 and 75961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75945 and 75961. First we will calculate the prime factors of 75945 and 75961.

Prime Factorization of 75945

Prime Factorization of 75961

Now multiplying the highest exponent prime factors to calculate the LCM of 75945 and 75961.

LCM(75945,75961) = 3¹ × 5¹ × 61¹ × 83¹ × 37¹ × 2053¹
LCM(75945,75961) = 5768858145