What is the Least Common Multiple of 35120 and 35138?

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 35120 and 35138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35120 and 35138, than apply into the LCM equation.

GCF(35120,35138) = 2
LCM(35120,35138) = ( 35120 × 35138) / 2
LCM(35120,35138) = 1234046560 / 2
LCM(35120,35138) = 617023280

Least Common Multiple (LCM) of 35120 and 35138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35120 and 35138. First we will calculate the prime factors of 35120 and 35138.

Prime Factorization of 35120

Prime Factorization of 35138

Now multiplying the highest exponent prime factors to calculate the LCM of 35120 and 35138.

LCM(35120,35138) = 2⁴ × 5¹ × 439¹ × 17569¹
LCM(35120,35138) = 617023280