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What is the Least Common Multiple of 16980 and 16984?

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 16980 and 16984 is 72097080.

LCM(16980,16984) = 72097080

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Least Common Multiple of 16980 and 16984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16980 and 16984, than apply into the LCM equation.

GCF(16980,16984) = 4
LCM(16980,16984) = ( 16980 × 16984) / 4
LCM(16980,16984) = 288388320 / 4
LCM(16980,16984) = 72097080

Least Common Multiple (LCM) of 16980 and 16984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16980 and 16984. First we will calculate the prime factors of 16980 and 16984.

Prime Factorization of 16980

Prime factors of 16980 are 2, 3, 5, 283. Prime factorization of 16980 in exponential form is:

16980 = 22 × 31 × 51 × 2831

Prime Factorization of 16984

Prime factors of 16984 are 2, 11, 193. Prime factorization of 16984 in exponential form is:

16984 = 23 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 16980 and 16984.

LCM(16980,16984) = 23 × 31 × 51 × 2831 × 111 × 1931
LCM(16980,16984) = 72097080