What is the Least Common Multiple of 71505 and 71521?

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 71505 and 71521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71505 and 71521, than apply into the LCM equation.

GCF(71505,71521) = 1
LCM(71505,71521) = ( 71505 × 71521) / 1
LCM(71505,71521) = 5114109105 / 1
LCM(71505,71521) = 5114109105

Least Common Multiple (LCM) of 71505 and 71521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71505 and 71521. First we will calculate the prime factors of 71505 and 71521.

Prime Factorization of 71505

Prime Factorization of 71521

Now multiplying the highest exponent prime factors to calculate the LCM of 71505 and 71521.

LCM(71505,71521) = 3² × 5¹ × 7¹ × 227¹ × 37¹ × 1933¹
LCM(71505,71521) = 5114109105