What is the Least Common Multiple of 61456 and 61466?

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 61456 and 61466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61456 and 61466, than apply into the LCM equation.

GCF(61456,61466) = 2
LCM(61456,61466) = ( 61456 × 61466) / 2
LCM(61456,61466) = 3777454496 / 2
LCM(61456,61466) = 1888727248

Least Common Multiple (LCM) of 61456 and 61466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61456 and 61466. First we will calculate the prime factors of 61456 and 61466.

Prime Factorization of 61456

Prime Factorization of 61466

Now multiplying the highest exponent prime factors to calculate the LCM of 61456 and 61466.

LCM(61456,61466) = 2⁴ × 23¹ × 167¹ × 73¹ × 421¹
LCM(61456,61466) = 1888727248