What is the Least Common Multiple of 75525 and 75544?

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 75525 and 75544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75525 and 75544, than apply into the LCM equation.

GCF(75525,75544) = 19
LCM(75525,75544) = ( 75525 × 75544) / 19
LCM(75525,75544) = 5705460600 / 19
LCM(75525,75544) = 300287400

Least Common Multiple (LCM) of 75525 and 75544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75525 and 75544. First we will calculate the prime factors of 75525 and 75544.

Prime Factorization of 75525

Prime Factorization of 75544

Now multiplying the highest exponent prime factors to calculate the LCM of 75525 and 75544.

LCM(75525,75544) = 3¹ × 5² × 19¹ × 53¹ × 2³ × 7¹ × 71¹
LCM(75525,75544) = 300287400