What is the Least Common Multiple of 88028 and 88039?

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 88028 and 88039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88028 and 88039, than apply into the LCM equation.

GCF(88028,88039) = 1
LCM(88028,88039) = ( 88028 × 88039) / 1
LCM(88028,88039) = 7749897092 / 1
LCM(88028,88039) = 7749897092

Least Common Multiple (LCM) of 88028 and 88039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88028 and 88039. First we will calculate the prime factors of 88028 and 88039.

Prime Factorization of 88028

Prime Factorization of 88039

Now multiplying the highest exponent prime factors to calculate the LCM of 88028 and 88039.

LCM(88028,88039) = 2² × 59¹ × 373¹ × 7¹ × 12577¹
LCM(88028,88039) = 7749897092