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What is the Least Common Multiple of 16050 and 16056?

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 16050 and 16056 is 42949800.

LCM(16050,16056) = 42949800

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Least Common Multiple of 16050 and 16056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16050 and 16056, than apply into the LCM equation.

GCF(16050,16056) = 6
LCM(16050,16056) = ( 16050 × 16056) / 6
LCM(16050,16056) = 257698800 / 6
LCM(16050,16056) = 42949800

Least Common Multiple (LCM) of 16050 and 16056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16050 and 16056. First we will calculate the prime factors of 16050 and 16056.

Prime Factorization of 16050

Prime factors of 16050 are 2, 3, 5, 107. Prime factorization of 16050 in exponential form is:

16050 = 21 × 31 × 52 × 1071

Prime Factorization of 16056

Prime factors of 16056 are 2, 3, 223. Prime factorization of 16056 in exponential form is:

16056 = 23 × 32 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 16050 and 16056.

LCM(16050,16056) = 23 × 32 × 52 × 1071 × 2231
LCM(16050,16056) = 42949800