What is the Least Common Multiple of 35049 and 35058?

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 35049 and 35058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35049 and 35058, than apply into the LCM equation.

GCF(35049,35058) = 3
LCM(35049,35058) = ( 35049 × 35058) / 3
LCM(35049,35058) = 1228747842 / 3
LCM(35049,35058) = 409582614

Least Common Multiple (LCM) of 35049 and 35058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35049 and 35058. First we will calculate the prime factors of 35049 and 35058.

Prime Factorization of 35049

Prime Factorization of 35058

Now multiplying the highest exponent prime factors to calculate the LCM of 35049 and 35058.

LCM(35049,35058) = 3¹ × 7¹ × 1669¹ × 2¹ × 5843¹
LCM(35049,35058) = 409582614