What is the Least Common Multiple of 61408 and 61413?

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 61408 and 61413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61408 and 61413, than apply into the LCM equation.

GCF(61408,61413) = 1
LCM(61408,61413) = ( 61408 × 61413) / 1
LCM(61408,61413) = 3771249504 / 1
LCM(61408,61413) = 3771249504

Least Common Multiple (LCM) of 61408 and 61413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61408 and 61413. First we will calculate the prime factors of 61408 and 61413.

Prime Factorization of 61408

Prime Factorization of 61413

Now multiplying the highest exponent prime factors to calculate the LCM of 61408 and 61413.

LCM(61408,61413) = 2⁵ × 19¹ × 101¹ × 3¹ × 11¹ × 1861¹
LCM(61408,61413) = 3771249504