What is the Least Common Multiple of 67536 and 67546?

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 67536 and 67546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67536 and 67546, than apply into the LCM equation.

GCF(67536,67546) = 2
LCM(67536,67546) = ( 67536 × 67546) / 2
LCM(67536,67546) = 4561786656 / 2
LCM(67536,67546) = 2280893328

Least Common Multiple (LCM) of 67536 and 67546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67536 and 67546. First we will calculate the prime factors of 67536 and 67546.

Prime Factorization of 67536

Prime Factorization of 67546

Now multiplying the highest exponent prime factors to calculate the LCM of 67536 and 67546.

LCM(67536,67546) = 2⁴ × 3² × 7¹ × 67¹ × 33773¹
LCM(67536,67546) = 2280893328