What is the Least Common Multiple of 67518 and 67536?

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 67518 and 67536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67518 and 67536, than apply into the LCM equation.

GCF(67518,67536) = 18
LCM(67518,67536) = ( 67518 × 67536) / 18
LCM(67518,67536) = 4559895648 / 18
LCM(67518,67536) = 253327536

Least Common Multiple (LCM) of 67518 and 67536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67518 and 67536. First we will calculate the prime factors of 67518 and 67536.

Prime Factorization of 67518

Prime Factorization of 67536

Now multiplying the highest exponent prime factors to calculate the LCM of 67518 and 67536.

LCM(67518,67536) = 2⁴ × 3² × 11² × 31¹ × 7¹ × 67¹
LCM(67518,67536) = 253327536