What is the Least Common Multiple of 76545 and 76550?

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 76545 and 76550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76545 and 76550, than apply into the LCM equation.

GCF(76545,76550) = 5
LCM(76545,76550) = ( 76545 × 76550) / 5
LCM(76545,76550) = 5859519750 / 5
LCM(76545,76550) = 1171903950

Least Common Multiple (LCM) of 76545 and 76550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76545 and 76550. First we will calculate the prime factors of 76545 and 76550.

Prime Factorization of 76545

Prime Factorization of 76550

Now multiplying the highest exponent prime factors to calculate the LCM of 76545 and 76550.

LCM(76545,76550) = 3⁷ × 5² × 7¹ × 2¹ × 1531¹
LCM(76545,76550) = 1171903950