What is the Least Common Multiple of 51536 and 51546?

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 51536 and 51546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51536 and 51546, than apply into the LCM equation.

GCF(51536,51546) = 2
LCM(51536,51546) = ( 51536 × 51546) / 2
LCM(51536,51546) = 2656474656 / 2
LCM(51536,51546) = 1328237328

Least Common Multiple (LCM) of 51536 and 51546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51536 and 51546. First we will calculate the prime factors of 51536 and 51546.

Prime Factorization of 51536

Prime Factorization of 51546

Now multiplying the highest exponent prime factors to calculate the LCM of 51536 and 51546.

LCM(51536,51546) = 2⁴ × 3221¹ × 3¹ × 11² × 71¹
LCM(51536,51546) = 1328237328