What is the Least Common Multiple of 90510 and 90515?

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 90510 and 90515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90510 and 90515, than apply into the LCM equation.

GCF(90510,90515) = 5
LCM(90510,90515) = ( 90510 × 90515) / 5
LCM(90510,90515) = 8192512650 / 5
LCM(90510,90515) = 1638502530

Least Common Multiple (LCM) of 90510 and 90515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90510 and 90515. First we will calculate the prime factors of 90510 and 90515.

Prime Factorization of 90510

Prime Factorization of 90515

Now multiplying the highest exponent prime factors to calculate the LCM of 90510 and 90515.

LCM(90510,90515) = 2¹ × 3¹ × 5¹ × 7¹ × 431¹ × 43¹ × 421¹
LCM(90510,90515) = 1638502530