What is the Least Common Multiple of 35119 and 35131?

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 35119 and 35131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35119 and 35131, than apply into the LCM equation.

GCF(35119,35131) = 1
LCM(35119,35131) = ( 35119 × 35131) / 1
LCM(35119,35131) = 1233765589 / 1
LCM(35119,35131) = 1233765589

Least Common Multiple (LCM) of 35119 and 35131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35119 and 35131. First we will calculate the prime factors of 35119 and 35131.

Prime Factorization of 35119

Prime Factorization of 35131

Now multiplying the highest exponent prime factors to calculate the LCM of 35119 and 35131.

LCM(35119,35131) = 7¹ × 29¹ × 173¹ × 19¹ × 43²
LCM(35119,35131) = 1233765589