What is the Least Common Multiple of 76505 and 76518?

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 76505 and 76518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76505 and 76518, than apply into the LCM equation.

GCF(76505,76518) = 13
LCM(76505,76518) = ( 76505 × 76518) / 13
LCM(76505,76518) = 5854009590 / 13
LCM(76505,76518) = 450308430

Least Common Multiple (LCM) of 76505 and 76518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76505 and 76518. First we will calculate the prime factors of 76505 and 76518.

Prime Factorization of 76505

Prime Factorization of 76518

Now multiplying the highest exponent prime factors to calculate the LCM of 76505 and 76518.

LCM(76505,76518) = 5¹ × 11¹ × 13¹ × 107¹ × 2¹ × 3³ × 109¹
LCM(76505,76518) = 450308430