What is the Least Common Multiple of 61440 and 61446?

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 61446 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 61446, than apply into the LCM equation.

GCF(61440,61446) = 6
LCM(61440,61446) = ( 61440 × 61446) / 6
LCM(61440,61446) = 3775242240 / 6
LCM(61440,61446) = 629207040

Least Common Multiple (LCM) of 61440 and 61446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61440 and 61446. First we will calculate the prime factors of 61440 and 61446.

Prime Factorization of 61440

Prime Factorization of 61446

Now multiplying the highest exponent prime factors to calculate the LCM of 61440 and 61446.

LCM(61440,61446) = 2¹² × 3¹ × 5¹ × 7² × 11¹ × 19¹
LCM(61440,61446) = 629207040