What is the Least Common Multiple of 75300 and 75305?

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 75300 and 75305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75300 and 75305, than apply into the LCM equation.

GCF(75300,75305) = 5
LCM(75300,75305) = ( 75300 × 75305) / 5
LCM(75300,75305) = 5670466500 / 5
LCM(75300,75305) = 1134093300

Least Common Multiple (LCM) of 75300 and 75305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75300 and 75305. First we will calculate the prime factors of 75300 and 75305.

Prime Factorization of 75300

Prime Factorization of 75305

Now multiplying the highest exponent prime factors to calculate the LCM of 75300 and 75305.

LCM(75300,75305) = 2² × 3¹ × 5² × 251¹ × 15061¹
LCM(75300,75305) = 1134093300