What is the Least Common Multiple of 19185 and 19201?

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 19201 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 19201, than apply into the LCM equation.

GCF(19185,19201) = 1
LCM(19185,19201) = ( 19185 × 19201) / 1
LCM(19185,19201) = 368371185 / 1
LCM(19185,19201) = 368371185

Least Common Multiple (LCM) of 19185 and 19201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19185 and 19201. First we will calculate the prime factors of 19185 and 19201.

Prime Factorization of 19185

Prime Factorization of 19201

Now multiplying the highest exponent prime factors to calculate the LCM of 19185 and 19201.

LCM(19185,19201) = 3¹ × 5¹ × 1279¹ × 7¹ × 13¹ × 211¹
LCM(19185,19201) = 368371185