What is the Least Common Multiple of 88345 and 88350?

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 88350 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 88350, than apply into the LCM equation.

GCF(88345,88350) = 5
LCM(88345,88350) = ( 88345 × 88350) / 5
LCM(88345,88350) = 7805280750 / 5
LCM(88345,88350) = 1561056150

Least Common Multiple (LCM) of 88345 and 88350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88345 and 88350. First we will calculate the prime factors of 88345 and 88350.

Prime Factorization of 88345

Prime Factorization of 88350

Now multiplying the highest exponent prime factors to calculate the LCM of 88345 and 88350.

LCM(88345,88350) = 5² × 17669¹ × 2¹ × 3¹ × 19¹ × 31¹
LCM(88345,88350) = 1561056150