What is the Least Common Multiple of 61814 and 61824?

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 61814 and 61824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61814 and 61824, than apply into the LCM equation.

GCF(61814,61824) = 2
LCM(61814,61824) = ( 61814 × 61824) / 2
LCM(61814,61824) = 3821588736 / 2
LCM(61814,61824) = 1910794368

Least Common Multiple (LCM) of 61814 and 61824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61814 and 61824. First we will calculate the prime factors of 61814 and 61824.

Prime Factorization of 61814

Prime Factorization of 61824

Now multiplying the highest exponent prime factors to calculate the LCM of 61814 and 61824.

LCM(61814,61824) = 2⁷ × 31¹ × 997¹ × 3¹ × 7¹ × 23¹
LCM(61814,61824) = 1910794368