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What is the Least Common Multiple of 60318 and 60326?

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 60318 and 60326 is 1819371834.

LCM(60318,60326) = 1819371834

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Least Common Multiple of 60318 and 60326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60318 and 60326, than apply into the LCM equation.

GCF(60318,60326) = 2
LCM(60318,60326) = ( 60318 × 60326) / 2
LCM(60318,60326) = 3638743668 / 2
LCM(60318,60326) = 1819371834

Least Common Multiple (LCM) of 60318 and 60326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60318 and 60326. First we will calculate the prime factors of 60318 and 60326.

Prime Factorization of 60318

Prime factors of 60318 are 2, 3, 1117. Prime factorization of 60318 in exponential form is:

60318 = 21 × 33 × 11171

Prime Factorization of 60326

Prime factors of 60326 are 2, 7, 31, 139. Prime factorization of 60326 in exponential form is:

60326 = 21 × 71 × 311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 60318 and 60326.

LCM(60318,60326) = 21 × 33 × 11171 × 71 × 311 × 1391
LCM(60318,60326) = 1819371834