What is the Least Common Multiple of 88330 and 88345?

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 88330 and 88345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88330 and 88345, than apply into the LCM equation.

GCF(88330,88345) = 5
LCM(88330,88345) = ( 88330 × 88345) / 5
LCM(88330,88345) = 7803513850 / 5
LCM(88330,88345) = 1560702770

Least Common Multiple (LCM) of 88330 and 88345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88330 and 88345. First we will calculate the prime factors of 88330 and 88345.

Prime Factorization of 88330

Prime Factorization of 88345

Now multiplying the highest exponent prime factors to calculate the LCM of 88330 and 88345.

LCM(88330,88345) = 2¹ × 5¹ × 11² × 73¹ × 17669¹
LCM(88330,88345) = 1560702770