What is the Least Common Multiple of 75051 and 75063?

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 75051 and 75063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75051 and 75063, than apply into the LCM equation.

GCF(75051,75063) = 3
LCM(75051,75063) = ( 75051 × 75063) / 3
LCM(75051,75063) = 5633553213 / 3
LCM(75051,75063) = 1877851071

Least Common Multiple (LCM) of 75051 and 75063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75051 and 75063. First we will calculate the prime factors of 75051 and 75063.

Prime Factorization of 75051

Prime Factorization of 75063

Now multiplying the highest exponent prime factors to calculate the LCM of 75051 and 75063.

LCM(75051,75063) = 3² × 31¹ × 269¹ × 131¹ × 191¹
LCM(75051,75063) = 1877851071