What is the Least Common Multiple of 88335 and 88340?

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 88335 and 88340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88335 and 88340, than apply into the LCM equation.

GCF(88335,88340) = 5
LCM(88335,88340) = ( 88335 × 88340) / 5
LCM(88335,88340) = 7803513900 / 5
LCM(88335,88340) = 1560702780

Least Common Multiple (LCM) of 88335 and 88340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88335 and 88340. First we will calculate the prime factors of 88335 and 88340.

Prime Factorization of 88335

Prime Factorization of 88340

Now multiplying the highest exponent prime factors to calculate the LCM of 88335 and 88340.

LCM(88335,88340) = 3² × 5¹ × 13¹ × 151¹ × 2² × 7¹ × 631¹
LCM(88335,88340) = 1560702780