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What is the Least Common Multiple of 16972 and 16976?

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 16972 and 16976 is 72029168.

LCM(16972,16976) = 72029168

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Least Common Multiple of 16972 and 16976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16972 and 16976, than apply into the LCM equation.

GCF(16972,16976) = 4
LCM(16972,16976) = ( 16972 × 16976) / 4
LCM(16972,16976) = 288116672 / 4
LCM(16972,16976) = 72029168

Least Common Multiple (LCM) of 16972 and 16976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16972 and 16976. First we will calculate the prime factors of 16972 and 16976.

Prime Factorization of 16972

Prime factors of 16972 are 2, 4243. Prime factorization of 16972 in exponential form is:

16972 = 22 × 42431

Prime Factorization of 16976

Prime factors of 16976 are 2, 1061. Prime factorization of 16976 in exponential form is:

16976 = 24 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 16972 and 16976.

LCM(16972,16976) = 24 × 42431 × 10611
LCM(16972,16976) = 72029168