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What is the Least Common Multiple of 16354 and 16374?

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 16354 and 16374 is 133890198.

LCM(16354,16374) = 133890198

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Least Common Multiple of 16354 and 16374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16354 and 16374, than apply into the LCM equation.

GCF(16354,16374) = 2
LCM(16354,16374) = ( 16354 × 16374) / 2
LCM(16354,16374) = 267780396 / 2
LCM(16354,16374) = 133890198

Least Common Multiple (LCM) of 16354 and 16374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16354 and 16374. First we will calculate the prime factors of 16354 and 16374.

Prime Factorization of 16354

Prime factors of 16354 are 2, 13, 17, 37. Prime factorization of 16354 in exponential form is:

16354 = 21 × 131 × 171 × 371

Prime Factorization of 16374

Prime factors of 16374 are 2, 3, 2729. Prime factorization of 16374 in exponential form is:

16374 = 21 × 31 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 16354 and 16374.

LCM(16354,16374) = 21 × 131 × 171 × 371 × 31 × 27291
LCM(16354,16374) = 133890198