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What is the Least Common Multiple of 66598 and 66607?

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 66607 is 4435892986.

LCM(66598,66607) = 4435892986

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Least Common Multiple of 66598 and 66607 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 66607, than apply into the LCM equation.

GCF(66598,66607) = 1
LCM(66598,66607) = ( 66598 × 66607) / 1
LCM(66598,66607) = 4435892986 / 1
LCM(66598,66607) = 4435892986

Least Common Multiple (LCM) of 66598 and 66607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66598 and 66607. First we will calculate the prime factors of 66598 and 66607.

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 66607

Prime factors of 66607 are 43, 1549. Prime factorization of 66607 in exponential form is:

66607 = 431 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 66598 and 66607.

LCM(66598,66607) = 21 × 71 × 671 × 711 × 431 × 15491
LCM(66598,66607) = 4435892986