What is the Least Common Multiple of 88345 and 88354?

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 88345 and 88354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88345 and 88354, than apply into the LCM equation.

GCF(88345,88354) = 1
LCM(88345,88354) = ( 88345 × 88354) / 1
LCM(88345,88354) = 7805634130 / 1
LCM(88345,88354) = 7805634130

Least Common Multiple (LCM) of 88345 and 88354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88345 and 88354. First we will calculate the prime factors of 88345 and 88354.

Prime Factorization of 88345

Prime Factorization of 88354

Now multiplying the highest exponent prime factors to calculate the LCM of 88345 and 88354.

LCM(88345,88354) = 5¹ × 17669¹ × 2¹ × 7¹ × 6311¹
LCM(88345,88354) = 7805634130