What is the Least Common Multiple of 22515 and 22535?

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 22515 and 22535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22515 and 22535, than apply into the LCM equation.

GCF(22515,22535) = 5
LCM(22515,22535) = ( 22515 × 22535) / 5
LCM(22515,22535) = 507375525 / 5
LCM(22515,22535) = 101475105

Least Common Multiple (LCM) of 22515 and 22535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22515 and 22535. First we will calculate the prime factors of 22515 and 22535.

Prime Factorization of 22515

Prime Factorization of 22535

Now multiplying the highest exponent prime factors to calculate the LCM of 22515 and 22535.

LCM(22515,22535) = 3¹ × 5¹ × 19¹ × 79¹ × 4507¹
LCM(22515,22535) = 101475105