What is the Least Common Multiple of 20515 and 20535?

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 20515 and 20535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20515 and 20535, than apply into the LCM equation.

GCF(20515,20535) = 5
LCM(20515,20535) = ( 20515 × 20535) / 5
LCM(20515,20535) = 421275525 / 5
LCM(20515,20535) = 84255105

Least Common Multiple (LCM) of 20515 and 20535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20515 and 20535. First we will calculate the prime factors of 20515 and 20535.

Prime Factorization of 20515

Prime Factorization of 20535

Now multiplying the highest exponent prime factors to calculate the LCM of 20515 and 20535.

LCM(20515,20535) = 5¹ × 11¹ × 373¹ × 3¹ × 37²
LCM(20515,20535) = 84255105