What is the Least Common Multiple of 73400 and 73415?

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 73400 and 73415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73400 and 73415, than apply into the LCM equation.

GCF(73400,73415) = 5
LCM(73400,73415) = ( 73400 × 73415) / 5
LCM(73400,73415) = 5388661000 / 5
LCM(73400,73415) = 1077732200

Least Common Multiple (LCM) of 73400 and 73415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73400 and 73415. First we will calculate the prime factors of 73400 and 73415.

Prime Factorization of 73400

Prime Factorization of 73415

Now multiplying the highest exponent prime factors to calculate the LCM of 73400 and 73415.

LCM(73400,73415) = 2³ × 5² × 367¹ × 14683¹
LCM(73400,73415) = 1077732200