What is the Least Common Multiple of 61824 and 61832?

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 61824 and 61832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61824 and 61832, than apply into the LCM equation.

GCF(61824,61832) = 8
LCM(61824,61832) = ( 61824 × 61832) / 8
LCM(61824,61832) = 3822701568 / 8
LCM(61824,61832) = 477837696

Least Common Multiple (LCM) of 61824 and 61832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61824 and 61832. First we will calculate the prime factors of 61824 and 61832.

Prime Factorization of 61824

Prime Factorization of 61832

Now multiplying the highest exponent prime factors to calculate the LCM of 61824 and 61832.

LCM(61824,61832) = 2⁷ × 3¹ × 7¹ × 23¹ × 59¹ × 131¹
LCM(61824,61832) = 477837696