What is the Least Common Multiple of 35104 and 35114?

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 35104 and 35114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35104 and 35114, than apply into the LCM equation.

GCF(35104,35114) = 2
LCM(35104,35114) = ( 35104 × 35114) / 2
LCM(35104,35114) = 1232641856 / 2
LCM(35104,35114) = 616320928

Least Common Multiple (LCM) of 35104 and 35114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35104 and 35114. First we will calculate the prime factors of 35104 and 35114.

Prime Factorization of 35104

Prime Factorization of 35114

Now multiplying the highest exponent prime factors to calculate the LCM of 35104 and 35114.

LCM(35104,35114) = 2⁵ × 1097¹ × 97¹ × 181¹
LCM(35104,35114) = 616320928