What is the Least Common Multiple of 87330 and 87340?

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 87330 and 87340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87330 and 87340, than apply into the LCM equation.

GCF(87330,87340) = 10
LCM(87330,87340) = ( 87330 × 87340) / 10
LCM(87330,87340) = 7627402200 / 10
LCM(87330,87340) = 762740220

Least Common Multiple (LCM) of 87330 and 87340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87330 and 87340. First we will calculate the prime factors of 87330 and 87340.

Prime Factorization of 87330

Prime Factorization of 87340

Now multiplying the highest exponent prime factors to calculate the LCM of 87330 and 87340.

LCM(87330,87340) = 2² × 3¹ × 5¹ × 41¹ × 71¹ × 11¹ × 397¹
LCM(87330,87340) = 762740220