What is the Least Common Multiple of 73452 and 73462?

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 73452 and 73462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73452 and 73462, than apply into the LCM equation.

GCF(73452,73462) = 2
LCM(73452,73462) = ( 73452 × 73462) / 2
LCM(73452,73462) = 5395930824 / 2
LCM(73452,73462) = 2697965412

Least Common Multiple (LCM) of 73452 and 73462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73452 and 73462. First we will calculate the prime factors of 73452 and 73462.

Prime Factorization of 73452

Prime Factorization of 73462

Now multiplying the highest exponent prime factors to calculate the LCM of 73452 and 73462.

LCM(73452,73462) = 2² × 3¹ × 6121¹ × 23¹ × 1597¹
LCM(73452,73462) = 2697965412