What is the Least Common Multiple of 19245 and 19263?

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 19245 and 19263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19245 and 19263, than apply into the LCM equation.

GCF(19245,19263) = 3
LCM(19245,19263) = ( 19245 × 19263) / 3
LCM(19245,19263) = 370716435 / 3
LCM(19245,19263) = 123572145

Least Common Multiple (LCM) of 19245 and 19263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19245 and 19263. First we will calculate the prime factors of 19245 and 19263.

Prime Factorization of 19245

Prime Factorization of 19263

Now multiplying the highest exponent prime factors to calculate the LCM of 19245 and 19263.

LCM(19245,19263) = 3¹ × 5¹ × 1283¹ × 6421¹
LCM(19245,19263) = 123572145