What is the Least Common Multiple of 67536 and 67543?

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 67543 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 67543, than apply into the LCM equation.

GCF(67536,67543) = 7
LCM(67536,67543) = ( 67536 × 67543) / 7
LCM(67536,67543) = 4561584048 / 7
LCM(67536,67543) = 651654864

Least Common Multiple (LCM) of 67536 and 67543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67536 and 67543. First we will calculate the prime factors of 67536 and 67543.

Prime Factorization of 67536

Prime Factorization of 67543

Now multiplying the highest exponent prime factors to calculate the LCM of 67536 and 67543.

LCM(67536,67543) = 2⁴ × 3² × 7¹ × 67¹ × 9649¹
LCM(67536,67543) = 651654864