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What is the Least Common Multiple of 16034 and 16048?

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 16034 and 16048 is 128656816.

LCM(16034,16048) = 128656816

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Least Common Multiple of 16034 and 16048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16034 and 16048, than apply into the LCM equation.

GCF(16034,16048) = 2
LCM(16034,16048) = ( 16034 × 16048) / 2
LCM(16034,16048) = 257313632 / 2
LCM(16034,16048) = 128656816

Least Common Multiple (LCM) of 16034 and 16048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16034 and 16048. First we will calculate the prime factors of 16034 and 16048.

Prime Factorization of 16034

Prime factors of 16034 are 2, 8017. Prime factorization of 16034 in exponential form is:

16034 = 21 × 80171

Prime Factorization of 16048

Prime factors of 16048 are 2, 17, 59. Prime factorization of 16048 in exponential form is:

16048 = 24 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16034 and 16048.

LCM(16034,16048) = 24 × 80171 × 171 × 591
LCM(16034,16048) = 128656816