What is the Least Common Multiple of 19860 and 19870?

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 19860 and 19870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19860 and 19870, than apply into the LCM equation.

GCF(19860,19870) = 10
LCM(19860,19870) = ( 19860 × 19870) / 10
LCM(19860,19870) = 394618200 / 10
LCM(19860,19870) = 39461820

Least Common Multiple (LCM) of 19860 and 19870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19860 and 19870. First we will calculate the prime factors of 19860 and 19870.

Prime Factorization of 19860

Prime Factorization of 19870

Now multiplying the highest exponent prime factors to calculate the LCM of 19860 and 19870.

LCM(19860,19870) = 2² × 3¹ × 5¹ × 331¹ × 1987¹
LCM(19860,19870) = 39461820