What is the Least Common Multiple of 35278 and 35290?

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 35278 and 35290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35278 and 35290, than apply into the LCM equation.

GCF(35278,35290) = 2
LCM(35278,35290) = ( 35278 × 35290) / 2
LCM(35278,35290) = 1244960620 / 2
LCM(35278,35290) = 622480310

Least Common Multiple (LCM) of 35278 and 35290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35278 and 35290. First we will calculate the prime factors of 35278 and 35290.

Prime Factorization of 35278

Prime Factorization of 35290

Now multiplying the highest exponent prime factors to calculate the LCM of 35278 and 35290.

LCM(35278,35290) = 2¹ × 31¹ × 569¹ × 5¹ × 3529¹
LCM(35278,35290) = 622480310