What is the Least Common Multiple of 88046 and 88064?

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 88046 and 88064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88046 and 88064, than apply into the LCM equation.

GCF(88046,88064) = 2
LCM(88046,88064) = ( 88046 × 88064) / 2
LCM(88046,88064) = 7753682944 / 2
LCM(88046,88064) = 3876841472

Least Common Multiple (LCM) of 88046 and 88064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88046 and 88064. First we will calculate the prime factors of 88046 and 88064.

Prime Factorization of 88046

Prime Factorization of 88064

Now multiplying the highest exponent prime factors to calculate the LCM of 88046 and 88064.

LCM(88046,88064) = 2¹¹ × 7¹ × 19¹ × 331¹ × 43¹
LCM(88046,88064) = 3876841472