What is the Least Common Multiple of 21870 and 21880?

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 21870 and 21880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21870 and 21880, than apply into the LCM equation.

GCF(21870,21880) = 10
LCM(21870,21880) = ( 21870 × 21880) / 10
LCM(21870,21880) = 478515600 / 10
LCM(21870,21880) = 47851560

Least Common Multiple (LCM) of 21870 and 21880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21870 and 21880. First we will calculate the prime factors of 21870 and 21880.

Prime Factorization of 21870

Prime Factorization of 21880

Now multiplying the highest exponent prime factors to calculate the LCM of 21870 and 21880.

LCM(21870,21880) = 2³ × 3⁷ × 5¹ × 547¹
LCM(21870,21880) = 47851560