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What is the Least Common Multiple of 66348 and 66361?

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 66348 and 66361 is 4402919628.

LCM(66348,66361) = 4402919628

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Least Common Multiple of 66348 and 66361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66348 and 66361, than apply into the LCM equation.

GCF(66348,66361) = 1
LCM(66348,66361) = ( 66348 × 66361) / 1
LCM(66348,66361) = 4402919628 / 1
LCM(66348,66361) = 4402919628

Least Common Multiple (LCM) of 66348 and 66361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66348 and 66361. First we will calculate the prime factors of 66348 and 66361.

Prime Factorization of 66348

Prime factors of 66348 are 2, 3, 19, 97. Prime factorization of 66348 in exponential form is:

66348 = 22 × 32 × 191 × 971

Prime Factorization of 66361

Prime factors of 66361 are 66361. Prime factorization of 66361 in exponential form is:

66361 = 663611

Now multiplying the highest exponent prime factors to calculate the LCM of 66348 and 66361.

LCM(66348,66361) = 22 × 32 × 191 × 971 × 663611
LCM(66348,66361) = 4402919628