What is the Least Common Multiple of 19355 and 19370?

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 19355 and 19370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19355 and 19370, than apply into the LCM equation.

GCF(19355,19370) = 5
LCM(19355,19370) = ( 19355 × 19370) / 5
LCM(19355,19370) = 374906350 / 5
LCM(19355,19370) = 74981270

Least Common Multiple (LCM) of 19355 and 19370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19355 and 19370. First we will calculate the prime factors of 19355 and 19370.

Prime Factorization of 19355

Prime Factorization of 19370

Now multiplying the highest exponent prime factors to calculate the LCM of 19355 and 19370.

LCM(19355,19370) = 5¹ × 7² × 79¹ × 2¹ × 13¹ × 149¹
LCM(19355,19370) = 74981270