What is the Least Common Multiple of 75506 and 75525?

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 75506 and 75525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75506 and 75525, than apply into the LCM equation.

GCF(75506,75525) = 19
LCM(75506,75525) = ( 75506 × 75525) / 19
LCM(75506,75525) = 5702590650 / 19
LCM(75506,75525) = 300136350

Least Common Multiple (LCM) of 75506 and 75525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75506 and 75525. First we will calculate the prime factors of 75506 and 75525.

Prime Factorization of 75506

Prime Factorization of 75525

Now multiplying the highest exponent prime factors to calculate the LCM of 75506 and 75525.

LCM(75506,75525) = 2¹ × 19¹ × 1987¹ × 3¹ × 5² × 53¹
LCM(75506,75525) = 300136350