What is the Least Common Multiple of 73437 and 73442?

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 73437 and 73442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73437 and 73442, than apply into the LCM equation.

GCF(73437,73442) = 1
LCM(73437,73442) = ( 73437 × 73442) / 1
LCM(73437,73442) = 5393360154 / 1
LCM(73437,73442) = 5393360154

Least Common Multiple (LCM) of 73437 and 73442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73437 and 73442. First we will calculate the prime factors of 73437 and 73442.

Prime Factorization of 73437

Prime Factorization of 73442

Now multiplying the highest exponent prime factors to calculate the LCM of 73437 and 73442.

LCM(73437,73442) = 3¹ × 7¹ × 13¹ × 269¹ × 2¹ × 36721¹
LCM(73437,73442) = 5393360154