What is the Least Common Multiple of 67056 and 67064?

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 67064 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 67064, than apply into the LCM equation.

GCF(67056,67064) = 8
LCM(67056,67064) = ( 67056 × 67064) / 8
LCM(67056,67064) = 4497043584 / 8
LCM(67056,67064) = 562130448

Least Common Multiple (LCM) of 67056 and 67064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67056 and 67064. First we will calculate the prime factors of 67056 and 67064.

Prime Factorization of 67056

Prime Factorization of 67064

Now multiplying the highest exponent prime factors to calculate the LCM of 67056 and 67064.

LCM(67056,67064) = 2⁴ × 3¹ × 11¹ × 127¹ × 83¹ × 101¹
LCM(67056,67064) = 562130448