What is the Least Common Multiple of 60453 and 60459?

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 60453 and 60459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60453 and 60459, than apply into the LCM equation.

GCF(60453,60459) = 3
LCM(60453,60459) = ( 60453 × 60459) / 3
LCM(60453,60459) = 3654927927 / 3
LCM(60453,60459) = 1218309309

Least Common Multiple (LCM) of 60453 and 60459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60453 and 60459. First we will calculate the prime factors of 60453 and 60459.

Prime Factorization of 60453

Prime Factorization of 60459

Now multiplying the highest exponent prime factors to calculate the LCM of 60453 and 60459.

LCM(60453,60459) = 3³ × 2239¹ × 7¹ × 2879¹
LCM(60453,60459) = 1218309309