What is the Least Common Multiple of 61454 and 61472?

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 61454 and 61472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61454 and 61472, than apply into the LCM equation.

GCF(61454,61472) = 2
LCM(61454,61472) = ( 61454 × 61472) / 2
LCM(61454,61472) = 3777700288 / 2
LCM(61454,61472) = 1888850144

Least Common Multiple (LCM) of 61454 and 61472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61454 and 61472. First we will calculate the prime factors of 61454 and 61472.

Prime Factorization of 61454

Prime Factorization of 61472

Now multiplying the highest exponent prime factors to calculate the LCM of 61454 and 61472.

LCM(61454,61472) = 2⁵ × 30727¹ × 17¹ × 113¹
LCM(61454,61472) = 1888850144