What is the Least Common Multiple of 88026 and 88043?

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 88026 and 88043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88026 and 88043, than apply into the LCM equation.

GCF(88026,88043) = 17
LCM(88026,88043) = ( 88026 × 88043) / 17
LCM(88026,88043) = 7750073118 / 17
LCM(88026,88043) = 455886654

Least Common Multiple (LCM) of 88026 and 88043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88026 and 88043. First we will calculate the prime factors of 88026 and 88043.

Prime Factorization of 88026

Prime Factorization of 88043

Now multiplying the highest exponent prime factors to calculate the LCM of 88026 and 88043.

LCM(88026,88043) = 2¹ × 3¹ × 17¹ × 863¹ × 5179¹
LCM(88026,88043) = 455886654