What is the Least Common Multiple of 35567 and 35578?

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 35567 and 35578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35567 and 35578, than apply into the LCM equation.

GCF(35567,35578) = 1
LCM(35567,35578) = ( 35567 × 35578) / 1
LCM(35567,35578) = 1265402726 / 1
LCM(35567,35578) = 1265402726

Least Common Multiple (LCM) of 35567 and 35578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35567 and 35578. First we will calculate the prime factors of 35567 and 35578.

Prime Factorization of 35567

Prime Factorization of 35578

Now multiplying the highest exponent prime factors to calculate the LCM of 35567 and 35578.

LCM(35567,35578) = 7¹ × 5081¹ × 2¹ × 17789¹
LCM(35567,35578) = 1265402726