What is the Least Common Multiple of 77535 and 77543?

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 77535 and 77543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77535 and 77543, than apply into the LCM equation.

GCF(77535,77543) = 1
LCM(77535,77543) = ( 77535 × 77543) / 1
LCM(77535,77543) = 6012296505 / 1
LCM(77535,77543) = 6012296505

Least Common Multiple (LCM) of 77535 and 77543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77535 and 77543. First we will calculate the prime factors of 77535 and 77543.

Prime Factorization of 77535

Prime Factorization of 77543

Now multiplying the highest exponent prime factors to calculate the LCM of 77535 and 77543.

LCM(77535,77543) = 3² × 5¹ × 1723¹ × 77543¹
LCM(77535,77543) = 6012296505