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What is the Least Common Multiple of 16435 and 16440?

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 (LCM) of 16435 and 16440 is 54038280.

LCM(16435,16440) = 54038280

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Least Common Multiple of 16435 and 16440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16435 and 16440, than apply into the LCM equation.

GCF(16435,16440) = 5
LCM(16435,16440) = ( 16435 × 16440) / 5
LCM(16435,16440) = 270191400 / 5
LCM(16435,16440) = 54038280

Least Common Multiple (LCM) of 16435 and 16440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16435 and 16440. First we will calculate the prime factors of 16435 and 16440.

Prime Factorization of 16435

Prime factors of 16435 are 5, 19, 173. Prime factorization of 16435 in exponential form is:

16435 = 51 × 191 × 1731

Prime Factorization of 16440

Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:

16440 = 23 × 31 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 16435 and 16440.

LCM(16435,16440) = 51 × 191 × 1731 × 23 × 31 × 1371
LCM(16435,16440) = 54038280