What is the Least Common Multiple of 61505 and 61521?

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 61505 and 61521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61505 and 61521, than apply into the LCM equation.

GCF(61505,61521) = 1
LCM(61505,61521) = ( 61505 × 61521) / 1
LCM(61505,61521) = 3783849105 / 1
LCM(61505,61521) = 3783849105

Least Common Multiple (LCM) of 61505 and 61521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61505 and 61521. First we will calculate the prime factors of 61505 and 61521.

Prime Factorization of 61505

Prime Factorization of 61521

Now multiplying the highest exponent prime factors to calculate the LCM of 61505 and 61521.

LCM(61505,61521) = 5¹ × 12301¹ × 3¹ × 20507¹
LCM(61505,61521) = 3783849105