What is the Least Common Multiple of 77567 and 77578?

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 77578 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 77578, than apply into the LCM equation.

GCF(77567,77578) = 1
LCM(77567,77578) = ( 77567 × 77578) / 1
LCM(77567,77578) = 6017492726 / 1
LCM(77567,77578) = 6017492726

Least Common Multiple (LCM) of 77567 and 77578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77567 and 77578. First we will calculate the prime factors of 77567 and 77578.

Prime Factorization of 77567

Prime Factorization of 77578

Now multiplying the highest exponent prime factors to calculate the LCM of 77567 and 77578.

LCM(77567,77578) = 7² × 1583¹ × 2¹ × 79¹ × 491¹
LCM(77567,77578) = 6017492726