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What is the Least Common Multiple of 70613 and 70618?

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 70613 and 70618 is 4986548834.

LCM(70613,70618) = 4986548834

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Least Common Multiple of 70613 and 70618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70613 and 70618, than apply into the LCM equation.

GCF(70613,70618) = 1
LCM(70613,70618) = ( 70613 × 70618) / 1
LCM(70613,70618) = 4986548834 / 1
LCM(70613,70618) = 4986548834

Least Common Multiple (LCM) of 70613 and 70618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70613 and 70618. First we will calculate the prime factors of 70613 and 70618.

Prime Factorization of 70613

Prime factors of 70613 are 241, 293. Prime factorization of 70613 in exponential form is:

70613 = 2411 × 2931

Prime Factorization of 70618

Prime factors of 70618 are 2, 17, 31, 67. Prime factorization of 70618 in exponential form is:

70618 = 21 × 171 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 70613 and 70618.

LCM(70613,70618) = 2411 × 2931 × 21 × 171 × 311 × 671
LCM(70613,70618) = 4986548834