What is the Least Common Multiple of 75525 and 75541?

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 75541 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 75541, than apply into the LCM equation.

GCF(75525,75541) = 1
LCM(75525,75541) = ( 75525 × 75541) / 1
LCM(75525,75541) = 5705234025 / 1
LCM(75525,75541) = 5705234025

Least Common Multiple (LCM) of 75525 and 75541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75525 and 75541. First we will calculate the prime factors of 75525 and 75541.

Prime Factorization of 75525

Prime Factorization of 75541

Now multiplying the highest exponent prime factors to calculate the LCM of 75525 and 75541.

LCM(75525,75541) = 3¹ × 5² × 19¹ × 53¹ × 75541¹
LCM(75525,75541) = 5705234025