What is the Least Common Multiple of 73462 and 73478?

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 73462 and 73478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73462 and 73478, than apply into the LCM equation.

GCF(73462,73478) = 2
LCM(73462,73478) = ( 73462 × 73478) / 2
LCM(73462,73478) = 5397840836 / 2
LCM(73462,73478) = 2698920418

Least Common Multiple (LCM) of 73462 and 73478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73462 and 73478. First we will calculate the prime factors of 73462 and 73478.

Prime Factorization of 73462

Prime Factorization of 73478

Now multiplying the highest exponent prime factors to calculate the LCM of 73462 and 73478.

LCM(73462,73478) = 2¹ × 23¹ × 1597¹ × 36739¹
LCM(73462,73478) = 2698920418