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What is the Least Common Multiple of 66987 and 66993?

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 66987 and 66993 is 1495886697.

LCM(66987,66993) = 1495886697

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Least Common Multiple of 66987 and 66993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66987 and 66993, than apply into the LCM equation.

GCF(66987,66993) = 3
LCM(66987,66993) = ( 66987 × 66993) / 3
LCM(66987,66993) = 4487660091 / 3
LCM(66987,66993) = 1495886697

Least Common Multiple (LCM) of 66987 and 66993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66987 and 66993. First we will calculate the prime factors of 66987 and 66993.

Prime Factorization of 66987

Prime factors of 66987 are 3, 827. Prime factorization of 66987 in exponential form is:

66987 = 34 × 8271

Prime Factorization of 66993

Prime factors of 66993 are 3, 137, 163. Prime factorization of 66993 in exponential form is:

66993 = 31 × 1371 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 66987 and 66993.

LCM(66987,66993) = 34 × 8271 × 1371 × 1631
LCM(66987,66993) = 1495886697