What is the Least Common Multiple of 35041 and 35059?

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 35041 and 35059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35041 and 35059, than apply into the LCM equation.

GCF(35041,35059) = 1
LCM(35041,35059) = ( 35041 × 35059) / 1
LCM(35041,35059) = 1228502419 / 1
LCM(35041,35059) = 1228502419

Least Common Multiple (LCM) of 35041 and 35059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35041 and 35059. First we will calculate the prime factors of 35041 and 35059.

Prime Factorization of 35041

Prime Factorization of 35059

Now multiplying the highest exponent prime factors to calculate the LCM of 35041 and 35059.

LCM(35041,35059) = 67¹ × 523¹ × 35059¹
LCM(35041,35059) = 1228502419