What is the Least Common Multiple of 35035 and 35046?

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 35035 and 35046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35035 and 35046, than apply into the LCM equation.

GCF(35035,35046) = 11
LCM(35035,35046) = ( 35035 × 35046) / 11
LCM(35035,35046) = 1227836610 / 11
LCM(35035,35046) = 111621510

Least Common Multiple (LCM) of 35035 and 35046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35035 and 35046. First we will calculate the prime factors of 35035 and 35046.

Prime Factorization of 35035

Prime Factorization of 35046

Now multiplying the highest exponent prime factors to calculate the LCM of 35035 and 35046.

LCM(35035,35046) = 5¹ × 7² × 11¹ × 13¹ × 2¹ × 3³ × 59¹
LCM(35035,35046) = 111621510