What is the Least Common Multiple of 67056 and 67074?

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 67056 and 67074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67056 and 67074, than apply into the LCM equation.

GCF(67056,67074) = 6
LCM(67056,67074) = ( 67056 × 67074) / 6
LCM(67056,67074) = 4497714144 / 6
LCM(67056,67074) = 749619024

Least Common Multiple (LCM) of 67056 and 67074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67056 and 67074. First we will calculate the prime factors of 67056 and 67074.

Prime Factorization of 67056

Prime Factorization of 67074

Now multiplying the highest exponent prime factors to calculate the LCM of 67056 and 67074.

LCM(67056,67074) = 2⁴ × 3¹ × 11¹ × 127¹ × 7¹ × 1597¹
LCM(67056,67074) = 749619024