What is the Least Common Multiple of 75450 and 75454?

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 75450 and 75454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75450 and 75454, than apply into the LCM equation.

GCF(75450,75454) = 2
LCM(75450,75454) = ( 75450 × 75454) / 2
LCM(75450,75454) = 5693004300 / 2
LCM(75450,75454) = 2846502150

Least Common Multiple (LCM) of 75450 and 75454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75450 and 75454. First we will calculate the prime factors of 75450 and 75454.

Prime Factorization of 75450

Prime Factorization of 75454

Now multiplying the highest exponent prime factors to calculate the LCM of 75450 and 75454.

LCM(75450,75454) = 2¹ × 3¹ × 5² × 503¹ × 31¹ × 1217¹
LCM(75450,75454) = 2846502150