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What is the Least Common Multiple of 5996 and 6010?

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 5996 and 6010 is 18017980.

LCM(5996,6010) = 18017980

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Least Common Multiple of 5996 and 6010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5996 and 6010, than apply into the LCM equation.

GCF(5996,6010) = 2
LCM(5996,6010) = ( 5996 × 6010) / 2
LCM(5996,6010) = 36035960 / 2
LCM(5996,6010) = 18017980

Least Common Multiple (LCM) of 5996 and 6010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5996 and 6010. First we will calculate the prime factors of 5996 and 6010.

Prime Factorization of 5996

Prime factors of 5996 are 2, 1499. Prime factorization of 5996 in exponential form is:

5996 = 22 × 14991

Prime Factorization of 6010

Prime factors of 6010 are 2, 5, 601. Prime factorization of 6010 in exponential form is:

6010 = 21 × 51 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 5996 and 6010.

LCM(5996,6010) = 22 × 14991 × 51 × 6011
LCM(5996,6010) = 18017980