What is the Least Common Multiple of 21870 and 21887?

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 21887 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 21887, than apply into the LCM equation.

GCF(21870,21887) = 1
LCM(21870,21887) = ( 21870 × 21887) / 1
LCM(21870,21887) = 478668690 / 1
LCM(21870,21887) = 478668690

Least Common Multiple (LCM) of 21870 and 21887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21870 and 21887. First we will calculate the prime factors of 21870 and 21887.

Prime Factorization of 21870

Prime Factorization of 21887

Now multiplying the highest exponent prime factors to calculate the LCM of 21870 and 21887.

LCM(21870,21887) = 2¹ × 3⁷ × 5¹ × 43¹ × 509¹
LCM(21870,21887) = 478668690