What is the Least Common Multiple of 88021 and 88034?

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 88021 and 88034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88021 and 88034, than apply into the LCM equation.

GCF(88021,88034) = 1
LCM(88021,88034) = ( 88021 × 88034) / 1
LCM(88021,88034) = 7748840714 / 1
LCM(88021,88034) = 7748840714

Least Common Multiple (LCM) of 88021 and 88034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88021 and 88034. First we will calculate the prime factors of 88021 and 88034.

Prime Factorization of 88021

Prime Factorization of 88034

Now multiplying the highest exponent prime factors to calculate the LCM of 88021 and 88034.

LCM(88021,88034) = 23¹ × 43¹ × 89¹ × 2¹ × 44017¹
LCM(88021,88034) = 7748840714