What is the Least Common Multiple of 61425 and 61440?

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 61425 and 61440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61425 and 61440, than apply into the LCM equation.

GCF(61425,61440) = 15
LCM(61425,61440) = ( 61425 × 61440) / 15
LCM(61425,61440) = 3773952000 / 15
LCM(61425,61440) = 251596800

Least Common Multiple (LCM) of 61425 and 61440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61425 and 61440. First we will calculate the prime factors of 61425 and 61440.

Prime Factorization of 61425

Prime Factorization of 61440

Now multiplying the highest exponent prime factors to calculate the LCM of 61425 and 61440.

LCM(61425,61440) = 3³ × 5² × 7¹ × 13¹ × 2¹²
LCM(61425,61440) = 251596800