What is the Least Common Multiple of 75102 and 75121?

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 75102 and 75121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75102 and 75121, than apply into the LCM equation.

GCF(75102,75121) = 1
LCM(75102,75121) = ( 75102 × 75121) / 1
LCM(75102,75121) = 5641737342 / 1
LCM(75102,75121) = 5641737342

Least Common Multiple (LCM) of 75102 and 75121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75102 and 75121. First we will calculate the prime factors of 75102 and 75121.

Prime Factorization of 75102

Prime Factorization of 75121

Now multiplying the highest exponent prime factors to calculate the LCM of 75102 and 75121.

LCM(75102,75121) = 2¹ × 3¹ × 12517¹ × 43¹ × 1747¹
LCM(75102,75121) = 5641737342