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What is the Least Common Multiple of 13996 and 14010?

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 13996 and 14010 is 98041980.

LCM(13996,14010) = 98041980

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Least Common Multiple of 13996 and 14010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13996 and 14010, than apply into the LCM equation.

GCF(13996,14010) = 2
LCM(13996,14010) = ( 13996 × 14010) / 2
LCM(13996,14010) = 196083960 / 2
LCM(13996,14010) = 98041980

Least Common Multiple (LCM) of 13996 and 14010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13996 and 14010. First we will calculate the prime factors of 13996 and 14010.

Prime Factorization of 13996

Prime factors of 13996 are 2, 3499. Prime factorization of 13996 in exponential form is:

13996 = 22 × 34991

Prime Factorization of 14010

Prime factors of 14010 are 2, 3, 5, 467. Prime factorization of 14010 in exponential form is:

14010 = 21 × 31 × 51 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 13996 and 14010.

LCM(13996,14010) = 22 × 34991 × 31 × 51 × 4671
LCM(13996,14010) = 98041980