What is the Least Common Multiple of 67509 and 67521?

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 67509 and 67521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67509 and 67521, than apply into the LCM equation.

GCF(67509,67521) = 3
LCM(67509,67521) = ( 67509 × 67521) / 3
LCM(67509,67521) = 4558275189 / 3
LCM(67509,67521) = 1519425063

Least Common Multiple (LCM) of 67509 and 67521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67509 and 67521. First we will calculate the prime factors of 67509 and 67521.

Prime Factorization of 67509

Prime Factorization of 67521

Now multiplying the highest exponent prime factors to calculate the LCM of 67509 and 67521.

LCM(67509,67521) = 3² × 13¹ × 577¹ × 71¹ × 317¹
LCM(67509,67521) = 1519425063