What is the Least Common Multiple of 88802 and 88813?

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 88802 and 88813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88802 and 88813, than apply into the LCM equation.

GCF(88802,88813) = 1
LCM(88802,88813) = ( 88802 × 88813) / 1
LCM(88802,88813) = 7886772026 / 1
LCM(88802,88813) = 7886772026

Least Common Multiple (LCM) of 88802 and 88813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88802 and 88813. First we will calculate the prime factors of 88802 and 88813.

Prime Factorization of 88802

Prime Factorization of 88813

Now multiplying the highest exponent prime factors to calculate the LCM of 88802 and 88813.

LCM(88802,88813) = 2¹ × 7¹ × 6343¹ × 88813¹
LCM(88802,88813) = 7886772026