What is the Least Common Multiple of 67044 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 67044 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 67044 and 67056, than apply into the LCM equation.

GCF(67044,67056) = 12
LCM(67044,67056) = ( 67044 × 67056) / 12
LCM(67044,67056) = 4495702464 / 12
LCM(67044,67056) = 374641872

Least Common Multiple (LCM) of 67044 and 67056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67044 and 67056. First we will calculate the prime factors of 67044 and 67056.

Prime Factorization of 67044

Prime Factorization of 67056

Now multiplying the highest exponent prime factors to calculate the LCM of 67044 and 67056.

LCM(67044,67056) = 2⁴ × 3¹ × 37¹ × 151¹ × 11¹ × 127¹
LCM(67044,67056) = 374641872