What is the Least Common Multiple of 27870 and 27880?

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 27870 and 27880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27870 and 27880, than apply into the LCM equation.

GCF(27870,27880) = 10
LCM(27870,27880) = ( 27870 × 27880) / 10
LCM(27870,27880) = 777015600 / 10
LCM(27870,27880) = 77701560

Least Common Multiple (LCM) of 27870 and 27880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27870 and 27880. First we will calculate the prime factors of 27870 and 27880.

Prime Factorization of 27870

Prime Factorization of 27880

Now multiplying the highest exponent prime factors to calculate the LCM of 27870 and 27880.

LCM(27870,27880) = 2³ × 3¹ × 5¹ × 929¹ × 17¹ × 41¹
LCM(27870,27880) = 77701560