What is the Least Common Multiple of 35106 and 35122?

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 35106 and 35122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35106 and 35122, than apply into the LCM equation.

GCF(35106,35122) = 2
LCM(35106,35122) = ( 35106 × 35122) / 2
LCM(35106,35122) = 1232992932 / 2
LCM(35106,35122) = 616496466

Least Common Multiple (LCM) of 35106 and 35122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35106 and 35122. First we will calculate the prime factors of 35106 and 35122.

Prime Factorization of 35106

Prime Factorization of 35122

Now multiplying the highest exponent prime factors to calculate the LCM of 35106 and 35122.

LCM(35106,35122) = 2¹ × 3¹ × 5851¹ × 17¹ × 1033¹
LCM(35106,35122) = 616496466