What is the Least Common Multiple of 67528 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 67528 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 67528 and 67536, than apply into the LCM equation.

GCF(67528,67536) = 8
LCM(67528,67536) = ( 67528 × 67536) / 8
LCM(67528,67536) = 4560571008 / 8
LCM(67528,67536) = 570071376

Least Common Multiple (LCM) of 67528 and 67536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67528 and 67536. First we will calculate the prime factors of 67528 and 67536.

Prime Factorization of 67528

Prime Factorization of 67536

Now multiplying the highest exponent prime factors to calculate the LCM of 67528 and 67536.

LCM(67528,67536) = 2⁴ × 23¹ × 367¹ × 3² × 7¹ × 67¹
LCM(67528,67536) = 570071376