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What is the Least Common Multiple of 66941 and 66945?

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 66941 and 66945 is 4481365245.

LCM(66941,66945) = 4481365245

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Least Common Multiple of 66941 and 66945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66941 and 66945, than apply into the LCM equation.

GCF(66941,66945) = 1
LCM(66941,66945) = ( 66941 × 66945) / 1
LCM(66941,66945) = 4481365245 / 1
LCM(66941,66945) = 4481365245

Least Common Multiple (LCM) of 66941 and 66945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66941 and 66945. First we will calculate the prime factors of 66941 and 66945.

Prime Factorization of 66941

Prime factors of 66941 are 7, 73, 131. Prime factorization of 66941 in exponential form is:

66941 = 71 × 731 × 1311

Prime Factorization of 66945

Prime factors of 66945 are 3, 5, 4463. Prime factorization of 66945 in exponential form is:

66945 = 31 × 51 × 44631

Now multiplying the highest exponent prime factors to calculate the LCM of 66941 and 66945.

LCM(66941,66945) = 71 × 731 × 1311 × 31 × 51 × 44631
LCM(66941,66945) = 4481365245