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What is the Least Common Multiple of 66834 and 66852?

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 66834 and 66852 is 248221476.

LCM(66834,66852) = 248221476

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Least Common Multiple of 66834 and 66852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66834 and 66852, than apply into the LCM equation.

GCF(66834,66852) = 18
LCM(66834,66852) = ( 66834 × 66852) / 18
LCM(66834,66852) = 4467986568 / 18
LCM(66834,66852) = 248221476

Least Common Multiple (LCM) of 66834 and 66852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66834 and 66852. First we will calculate the prime factors of 66834 and 66852.

Prime Factorization of 66834

Prime factors of 66834 are 2, 3, 47, 79. Prime factorization of 66834 in exponential form is:

66834 = 21 × 32 × 471 × 791

Prime Factorization of 66852

Prime factors of 66852 are 2, 3, 619. Prime factorization of 66852 in exponential form is:

66852 = 22 × 33 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 66834 and 66852.

LCM(66834,66852) = 22 × 33 × 471 × 791 × 6191
LCM(66834,66852) = 248221476