What is the Least Common Multiple of 61404 and 61424?

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 61404 and 61424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61404 and 61424, than apply into the LCM equation.

GCF(61404,61424) = 4
LCM(61404,61424) = ( 61404 × 61424) / 4
LCM(61404,61424) = 3771679296 / 4
LCM(61404,61424) = 942919824

Least Common Multiple (LCM) of 61404 and 61424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61404 and 61424. First we will calculate the prime factors of 61404 and 61424.

Prime Factorization of 61404

Prime Factorization of 61424

Now multiplying the highest exponent prime factors to calculate the LCM of 61404 and 61424.

LCM(61404,61424) = 2⁴ × 3¹ × 7¹ × 17¹ × 43¹ × 11¹ × 349¹
LCM(61404,61424) = 942919824