What is the Least Common Multiple of 61503 and 61509?

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 61503 and 61509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61503 and 61509, than apply into the LCM equation.

GCF(61503,61509) = 3
LCM(61503,61509) = ( 61503 × 61509) / 3
LCM(61503,61509) = 3782988027 / 3
LCM(61503,61509) = 1260996009

Least Common Multiple (LCM) of 61503 and 61509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61503 and 61509. First we will calculate the prime factors of 61503 and 61509.

Prime Factorization of 61503

Prime Factorization of 61509

Now multiplying the highest exponent prime factors to calculate the LCM of 61503 and 61509.

LCM(61503,61509) = 3¹ × 13¹ × 19¹ × 83¹ × 7¹ × 29¹ × 101¹
LCM(61503,61509) = 1260996009