What is the Least Common Multiple of 7312 and 7319?

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 7312 and 7319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7312 and 7319, than apply into the LCM equation.

GCF(7312,7319) = 1
LCM(7312,7319) = ( 7312 × 7319) / 1
LCM(7312,7319) = 53516528 / 1
LCM(7312,7319) = 53516528

Least Common Multiple (LCM) of 7312 and 7319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7312 and 7319. First we will calculate the prime factors of 7312 and 7319.

Prime Factorization of 7312

Prime Factorization of 7319

Now multiplying the highest exponent prime factors to calculate the LCM of 7312 and 7319.

LCM(7312,7319) = 2⁴ × 457¹ × 13¹ × 563¹
LCM(7312,7319) = 53516528