What is the Least Common Multiple of 77567 and 77579?

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 77567 and 77579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77567 and 77579, than apply into the LCM equation.

GCF(77567,77579) = 1
LCM(77567,77579) = ( 77567 × 77579) / 1
LCM(77567,77579) = 6017570293 / 1
LCM(77567,77579) = 6017570293

Least Common Multiple (LCM) of 77567 and 77579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77567 and 77579. First we will calculate the prime factors of 77567 and 77579.

Prime Factorization of 77567

Prime Factorization of 77579

Now multiplying the highest exponent prime factors to calculate the LCM of 77567 and 77579.

LCM(77567,77579) = 7² × 1583¹ × 23¹ × 3373¹
LCM(77567,77579) = 6017570293