What is the Least Common Multiple of 35031 and 35049?

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 35031 and 35049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35031 and 35049, than apply into the LCM equation.

GCF(35031,35049) = 3
LCM(35031,35049) = ( 35031 × 35049) / 3
LCM(35031,35049) = 1227801519 / 3
LCM(35031,35049) = 409267173

Least Common Multiple (LCM) of 35031 and 35049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35031 and 35049. First we will calculate the prime factors of 35031 and 35049.

Prime Factorization of 35031

Prime Factorization of 35049

Now multiplying the highest exponent prime factors to calculate the LCM of 35031 and 35049.

LCM(35031,35049) = 3¹ × 11677¹ × 7¹ × 1669¹
LCM(35031,35049) = 409267173