What is the Least Common Multiple of 88265 and 88269?

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 88265 and 88269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88265 and 88269, than apply into the LCM equation.

GCF(88265,88269) = 1
LCM(88265,88269) = ( 88265 × 88269) / 1
LCM(88265,88269) = 7791063285 / 1
LCM(88265,88269) = 7791063285

Least Common Multiple (LCM) of 88265 and 88269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88265 and 88269. First we will calculate the prime factors of 88265 and 88269.

Prime Factorization of 88265

Prime Factorization of 88269

Now multiplying the highest exponent prime factors to calculate the LCM of 88265 and 88269.

LCM(88265,88269) = 5¹ × 127¹ × 139¹ × 3¹ × 29423¹
LCM(88265,88269) = 7791063285