What is the Least Common Multiple of 88064 and 88068?

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 88064 and 88068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88064 and 88068, than apply into the LCM equation.

GCF(88064,88068) = 4
LCM(88064,88068) = ( 88064 × 88068) / 4
LCM(88064,88068) = 7755620352 / 4
LCM(88064,88068) = 1938905088

Least Common Multiple (LCM) of 88064 and 88068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88064 and 88068. First we will calculate the prime factors of 88064 and 88068.

Prime Factorization of 88064

Prime Factorization of 88068

Now multiplying the highest exponent prime factors to calculate the LCM of 88064 and 88068.

LCM(88064,88068) = 2¹¹ × 43¹ × 3¹ × 41¹ × 179¹
LCM(88064,88068) = 1938905088