What is the Least Common Multiple of 19455 and 19475?

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 19455 and 19475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19455 and 19475, than apply into the LCM equation.

GCF(19455,19475) = 5
LCM(19455,19475) = ( 19455 × 19475) / 5
LCM(19455,19475) = 378886125 / 5
LCM(19455,19475) = 75777225

Least Common Multiple (LCM) of 19455 and 19475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19455 and 19475. First we will calculate the prime factors of 19455 and 19475.

Prime Factorization of 19455

Prime Factorization of 19475

Now multiplying the highest exponent prime factors to calculate the LCM of 19455 and 19475.

LCM(19455,19475) = 3¹ × 5² × 1297¹ × 19¹ × 41¹
LCM(19455,19475) = 75777225