What is the Least Common Multiple of 88493 and 88501?

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 88493 and 88501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88493 and 88501, than apply into the LCM equation.

GCF(88493,88501) = 1
LCM(88493,88501) = ( 88493 × 88501) / 1
LCM(88493,88501) = 7831718993 / 1
LCM(88493,88501) = 7831718993

Least Common Multiple (LCM) of 88493 and 88501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88493 and 88501. First we will calculate the prime factors of 88493 and 88501.

Prime Factorization of 88493

Prime Factorization of 88501

Now multiplying the highest exponent prime factors to calculate the LCM of 88493 and 88501.

LCM(88493,88501) = 88493¹ × 7¹ × 47¹ × 269¹
LCM(88493,88501) = 7831718993