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What is the Least Common Multiple of 66749 and 66762?

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 66749 and 66762 is 4456296738.

LCM(66749,66762) = 4456296738

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Least Common Multiple of 66749 and 66762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66749 and 66762, than apply into the LCM equation.

GCF(66749,66762) = 1
LCM(66749,66762) = ( 66749 × 66762) / 1
LCM(66749,66762) = 4456296738 / 1
LCM(66749,66762) = 4456296738

Least Common Multiple (LCM) of 66749 and 66762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66749 and 66762. First we will calculate the prime factors of 66749 and 66762.

Prime Factorization of 66749

Prime factors of 66749 are 66749. Prime factorization of 66749 in exponential form is:

66749 = 667491

Prime Factorization of 66762

Prime factors of 66762 are 2, 3, 3709. Prime factorization of 66762 in exponential form is:

66762 = 21 × 32 × 37091

Now multiplying the highest exponent prime factors to calculate the LCM of 66749 and 66762.

LCM(66749,66762) = 667491 × 21 × 32 × 37091
LCM(66749,66762) = 4456296738