What is the Least Common Multiple of 73074 and 73082?

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 73074 and 73082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73074 and 73082, than apply into the LCM equation.

GCF(73074,73082) = 2
LCM(73074,73082) = ( 73074 × 73082) / 2
LCM(73074,73082) = 5340394068 / 2
LCM(73074,73082) = 2670197034

Least Common Multiple (LCM) of 73074 and 73082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73074 and 73082. First we will calculate the prime factors of 73074 and 73082.

Prime Factorization of 73074

Prime Factorization of 73082

Now multiplying the highest exponent prime factors to calculate the LCM of 73074 and 73082.

LCM(73074,73082) = 2¹ × 3¹ × 19¹ × 641¹ × 36541¹
LCM(73074,73082) = 2670197034