What is the Least Common Multiple of 71505 and 71514?

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 71505 and 71514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71505 and 71514, than apply into the LCM equation.

GCF(71505,71514) = 9
LCM(71505,71514) = ( 71505 × 71514) / 9
LCM(71505,71514) = 5113608570 / 9
LCM(71505,71514) = 568178730

Least Common Multiple (LCM) of 71505 and 71514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71505 and 71514. First we will calculate the prime factors of 71505 and 71514.

Prime Factorization of 71505

Prime Factorization of 71514

Now multiplying the highest exponent prime factors to calculate the LCM of 71505 and 71514.

LCM(71505,71514) = 3² × 5¹ × 7¹ × 227¹ × 2¹ × 29¹ × 137¹
LCM(71505,71514) = 568178730