What is the Least Common Multiple of 67045 and 67056?

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 67045 and 67056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67045 and 67056, than apply into the LCM equation.

GCF(67045,67056) = 11
LCM(67045,67056) = ( 67045 × 67056) / 11
LCM(67045,67056) = 4495769520 / 11
LCM(67045,67056) = 408706320

Least Common Multiple (LCM) of 67045 and 67056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67045 and 67056. First we will calculate the prime factors of 67045 and 67056.

Prime Factorization of 67045

Prime Factorization of 67056

Now multiplying the highest exponent prime factors to calculate the LCM of 67045 and 67056.

LCM(67045,67056) = 5¹ × 11¹ × 23¹ × 53¹ × 2⁴ × 3¹ × 127¹
LCM(67045,67056) = 408706320