What is the Least Common Multiple of 96870 and 96888?

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 96870 and 96888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96870 and 96888, than apply into the LCM equation.

GCF(96870,96888) = 6
LCM(96870,96888) = ( 96870 × 96888) / 6
LCM(96870,96888) = 9385540560 / 6
LCM(96870,96888) = 1564256760

Least Common Multiple (LCM) of 96870 and 96888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96870 and 96888. First we will calculate the prime factors of 96870 and 96888.

Prime Factorization of 96870

Prime Factorization of 96888

Now multiplying the highest exponent prime factors to calculate the LCM of 96870 and 96888.

LCM(96870,96888) = 2³ × 3¹ × 5¹ × 3229¹ × 11¹ × 367¹
LCM(96870,96888) = 1564256760