What is the Least Common Multiple of 35119 and 35128?

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 35128 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 35128, than apply into the LCM equation.

GCF(35119,35128) = 1
LCM(35119,35128) = ( 35119 × 35128) / 1
LCM(35119,35128) = 1233660232 / 1
LCM(35119,35128) = 1233660232

Least Common Multiple (LCM) of 35119 and 35128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35119 and 35128. First we will calculate the prime factors of 35119 and 35128.

Prime Factorization of 35119

Prime Factorization of 35128

Now multiplying the highest exponent prime factors to calculate the LCM of 35119 and 35128.

LCM(35119,35128) = 7¹ × 29¹ × 173¹ × 2³ × 4391¹
LCM(35119,35128) = 1233660232