What is the Least Common Multiple of 88269 and 88278?

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 88269 and 88278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88269 and 88278, than apply into the LCM equation.

GCF(88269,88278) = 3
LCM(88269,88278) = ( 88269 × 88278) / 3
LCM(88269,88278) = 7792210782 / 3
LCM(88269,88278) = 2597403594

Least Common Multiple (LCM) of 88269 and 88278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88269 and 88278. First we will calculate the prime factors of 88269 and 88278.

Prime Factorization of 88269

Prime Factorization of 88278

Now multiplying the highest exponent prime factors to calculate the LCM of 88269 and 88278.

LCM(88269,88278) = 3¹ × 29423¹ × 2¹ × 14713¹
LCM(88269,88278) = 2597403594