What is the Least Common Multiple of 22064 and 22078?

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 22064 and 22078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22064 and 22078, than apply into the LCM equation.

GCF(22064,22078) = 14
LCM(22064,22078) = ( 22064 × 22078) / 14
LCM(22064,22078) = 487128992 / 14
LCM(22064,22078) = 34794928

Least Common Multiple (LCM) of 22064 and 22078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22064 and 22078. First we will calculate the prime factors of 22064 and 22078.

Prime Factorization of 22064

Prime Factorization of 22078

Now multiplying the highest exponent prime factors to calculate the LCM of 22064 and 22078.

LCM(22064,22078) = 2⁴ × 7¹ × 197¹ × 19¹ × 83¹
LCM(22064,22078) = 34794928