What is the Least Common Multiple of 20615 and 20635?

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 20615 and 20635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20615 and 20635, than apply into the LCM equation.

GCF(20615,20635) = 5
LCM(20615,20635) = ( 20615 × 20635) / 5
LCM(20615,20635) = 425390525 / 5
LCM(20615,20635) = 85078105

Least Common Multiple (LCM) of 20615 and 20635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20615 and 20635. First we will calculate the prime factors of 20615 and 20635.

Prime Factorization of 20615

Prime Factorization of 20635

Now multiplying the highest exponent prime factors to calculate the LCM of 20615 and 20635.

LCM(20615,20635) = 5¹ × 7¹ × 19¹ × 31¹ × 4127¹
LCM(20615,20635) = 85078105