What is the Least Common Multiple of 19185 and 19192?

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 19185 and 19192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19185 and 19192, than apply into the LCM equation.

GCF(19185,19192) = 1
LCM(19185,19192) = ( 19185 × 19192) / 1
LCM(19185,19192) = 368198520 / 1
LCM(19185,19192) = 368198520

Least Common Multiple (LCM) of 19185 and 19192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19185 and 19192. First we will calculate the prime factors of 19185 and 19192.

Prime Factorization of 19185

Prime Factorization of 19192

Now multiplying the highest exponent prime factors to calculate the LCM of 19185 and 19192.

LCM(19185,19192) = 3¹ × 5¹ × 1279¹ × 2³ × 2399¹
LCM(19185,19192) = 368198520