What is the Least Common Multiple of 73066 and 73074?

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 73066 and 73074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73066 and 73074, than apply into the LCM equation.

GCF(73066,73074) = 2
LCM(73066,73074) = ( 73066 × 73074) / 2
LCM(73066,73074) = 5339224884 / 2
LCM(73066,73074) = 2669612442

Least Common Multiple (LCM) of 73066 and 73074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73066 and 73074. First we will calculate the prime factors of 73066 and 73074.

Prime Factorization of 73066

Prime Factorization of 73074

Now multiplying the highest exponent prime factors to calculate the LCM of 73066 and 73074.

LCM(73066,73074) = 2¹ × 7¹ × 17¹ × 307¹ × 3¹ × 19¹ × 641¹
LCM(73066,73074) = 2669612442