What is the Least Common Multiple of 75466 and 75483?

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 75466 and 75483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75466 and 75483, than apply into the LCM equation.

GCF(75466,75483) = 1
LCM(75466,75483) = ( 75466 × 75483) / 1
LCM(75466,75483) = 5696400078 / 1
LCM(75466,75483) = 5696400078

Least Common Multiple (LCM) of 75466 and 75483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75466 and 75483. First we will calculate the prime factors of 75466 and 75483.

Prime Factorization of 75466

Prime Factorization of 75483

Now multiplying the highest exponent prime factors to calculate the LCM of 75466 and 75483.

LCM(75466,75483) = 2¹ × 97¹ × 389¹ × 3² × 8387¹
LCM(75466,75483) = 5696400078