What is the Least Common Multiple of 88737 and 88741?

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 88737 and 88741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88737 and 88741, than apply into the LCM equation.

GCF(88737,88741) = 1
LCM(88737,88741) = ( 88737 × 88741) / 1
LCM(88737,88741) = 7874610117 / 1
LCM(88737,88741) = 7874610117

Least Common Multiple (LCM) of 88737 and 88741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88737 and 88741. First we will calculate the prime factors of 88737 and 88741.

Prime Factorization of 88737

Prime Factorization of 88741

Now multiplying the highest exponent prime factors to calculate the LCM of 88737 and 88741.

LCM(88737,88741) = 3¹ × 11¹ × 2689¹ × 88741¹
LCM(88737,88741) = 7874610117