What is the Least Common Multiple of 61440 and 61459?

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 61440 and 61459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61440 and 61459, than apply into the LCM equation.

GCF(61440,61459) = 1
LCM(61440,61459) = ( 61440 × 61459) / 1
LCM(61440,61459) = 3776040960 / 1
LCM(61440,61459) = 3776040960

Least Common Multiple (LCM) of 61440 and 61459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61440 and 61459. First we will calculate the prime factors of 61440 and 61459.

Prime Factorization of 61440

Prime Factorization of 61459

Now multiplying the highest exponent prime factors to calculate the LCM of 61440 and 61459.

LCM(61440,61459) = 2¹² × 3¹ × 5¹ × 41¹ × 1499¹
LCM(61440,61459) = 3776040960