What is the Least Common Multiple of 35144 and 35157?

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 35144 and 35157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35144 and 35157, than apply into the LCM equation.

GCF(35144,35157) = 1
LCM(35144,35157) = ( 35144 × 35157) / 1
LCM(35144,35157) = 1235557608 / 1
LCM(35144,35157) = 1235557608

Least Common Multiple (LCM) of 35144 and 35157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35144 and 35157. First we will calculate the prime factors of 35144 and 35157.

Prime Factorization of 35144

Prime Factorization of 35157

Now multiplying the highest exponent prime factors to calculate the LCM of 35144 and 35157.

LCM(35144,35157) = 2³ × 23¹ × 191¹ × 3¹ × 11719¹
LCM(35144,35157) = 1235557608