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What is the Least Common Multiple of 66598 and 66603?

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 66598 and 66603 is 4435626594.

LCM(66598,66603) = 4435626594

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Least Common Multiple of 66598 and 66603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66598 and 66603, than apply into the LCM equation.

GCF(66598,66603) = 1
LCM(66598,66603) = ( 66598 × 66603) / 1
LCM(66598,66603) = 4435626594 / 1
LCM(66598,66603) = 4435626594

Least Common Multiple (LCM) of 66598 and 66603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66598 and 66603. First we will calculate the prime factors of 66598 and 66603.

Prime Factorization of 66598

Prime factors of 66598 are 2, 7, 67, 71. Prime factorization of 66598 in exponential form is:

66598 = 21 × 71 × 671 × 711

Prime Factorization of 66603

Prime factors of 66603 are 3, 149. Prime factorization of 66603 in exponential form is:

66603 = 31 × 1492

Now multiplying the highest exponent prime factors to calculate the LCM of 66598 and 66603.

LCM(66598,66603) = 21 × 71 × 671 × 711 × 31 × 1492
LCM(66598,66603) = 4435626594