What is the Least Common Multiple of 42870 and 42880?

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 42870 and 42880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42870 and 42880, than apply into the LCM equation.

GCF(42870,42880) = 10
LCM(42870,42880) = ( 42870 × 42880) / 10
LCM(42870,42880) = 1838265600 / 10
LCM(42870,42880) = 183826560

Least Common Multiple (LCM) of 42870 and 42880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42870 and 42880. First we will calculate the prime factors of 42870 and 42880.

Prime Factorization of 42870

Prime Factorization of 42880

Now multiplying the highest exponent prime factors to calculate the LCM of 42870 and 42880.

LCM(42870,42880) = 2⁷ × 3¹ × 5¹ × 1429¹ × 67¹
LCM(42870,42880) = 183826560