What is the Least Common Multiple of 88378 and 88383?

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 88378 and 88383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88378 and 88383, than apply into the LCM equation.

GCF(88378,88383) = 1
LCM(88378,88383) = ( 88378 × 88383) / 1
LCM(88378,88383) = 7811112774 / 1
LCM(88378,88383) = 7811112774

Least Common Multiple (LCM) of 88378 and 88383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88378 and 88383. First we will calculate the prime factors of 88378 and 88383.

Prime Factorization of 88378

Prime Factorization of 88383

Now multiplying the highest exponent prime factors to calculate the LCM of 88378 and 88383.

LCM(88378,88383) = 2¹ × 44189¹ × 3¹ × 17¹ × 1733¹
LCM(88378,88383) = 7811112774