What is the Least Common Multiple of 77505 and 77509?

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 77505 and 77509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77505 and 77509, than apply into the LCM equation.

GCF(77505,77509) = 1
LCM(77505,77509) = ( 77505 × 77509) / 1
LCM(77505,77509) = 6007335045 / 1
LCM(77505,77509) = 6007335045

Least Common Multiple (LCM) of 77505 and 77509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77505 and 77509. First we will calculate the prime factors of 77505 and 77509.

Prime Factorization of 77505

Prime Factorization of 77509

Now multiplying the highest exponent prime factors to calculate the LCM of 77505 and 77509.

LCM(77505,77509) = 3¹ × 5¹ × 5167¹ × 77509¹
LCM(77505,77509) = 6007335045