What is the Least Common Multiple of 88039 and 88045?

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 88039 and 88045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88039 and 88045, than apply into the LCM equation.

GCF(88039,88045) = 1
LCM(88039,88045) = ( 88039 × 88045) / 1
LCM(88039,88045) = 7751393755 / 1
LCM(88039,88045) = 7751393755

Least Common Multiple (LCM) of 88039 and 88045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88039 and 88045. First we will calculate the prime factors of 88039 and 88045.

Prime Factorization of 88039

Prime Factorization of 88045

Now multiplying the highest exponent prime factors to calculate the LCM of 88039 and 88045.

LCM(88039,88045) = 7¹ × 12577¹ × 5¹ × 17609¹
LCM(88039,88045) = 7751393755