What is the Least Common Multiple of 25515 and 25535?

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 25515 and 25535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25515 and 25535, than apply into the LCM equation.

GCF(25515,25535) = 5
LCM(25515,25535) = ( 25515 × 25535) / 5
LCM(25515,25535) = 651525525 / 5
LCM(25515,25535) = 130305105

Least Common Multiple (LCM) of 25515 and 25535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25515 and 25535. First we will calculate the prime factors of 25515 and 25535.

Prime Factorization of 25515

Prime Factorization of 25535

Now multiplying the highest exponent prime factors to calculate the LCM of 25515 and 25535.

LCM(25515,25535) = 3⁶ × 5¹ × 7¹ × 5107¹
LCM(25515,25535) = 130305105