What is the Least Common Multiple of 19074 and 19085?

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 19074 and 19085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19074 and 19085, than apply into the LCM equation.

GCF(19074,19085) = 11
LCM(19074,19085) = ( 19074 × 19085) / 11
LCM(19074,19085) = 364027290 / 11
LCM(19074,19085) = 33093390

Least Common Multiple (LCM) of 19074 and 19085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19074 and 19085. First we will calculate the prime factors of 19074 and 19085.

Prime Factorization of 19074

Prime Factorization of 19085

Now multiplying the highest exponent prime factors to calculate the LCM of 19074 and 19085.

LCM(19074,19085) = 2¹ × 3¹ × 11¹ × 17² × 5¹ × 347¹
LCM(19074,19085) = 33093390