What is the Least Common Multiple of 67504 and 67512?

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 67504 and 67512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67504 and 67512, than apply into the LCM equation.

GCF(67504,67512) = 8
LCM(67504,67512) = ( 67504 × 67512) / 8
LCM(67504,67512) = 4557330048 / 8
LCM(67504,67512) = 569666256

Least Common Multiple (LCM) of 67504 and 67512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67504 and 67512. First we will calculate the prime factors of 67504 and 67512.

Prime Factorization of 67504

Prime Factorization of 67512

Now multiplying the highest exponent prime factors to calculate the LCM of 67504 and 67512.

LCM(67504,67512) = 2⁴ × 4219¹ × 3¹ × 29¹ × 97¹
LCM(67504,67512) = 569666256