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What is the Least Common Multiple of 66774 and 66779?

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 66774 and 66779 is 4459100946.

LCM(66774,66779) = 4459100946

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Least Common Multiple of 66774 and 66779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66774 and 66779, than apply into the LCM equation.

GCF(66774,66779) = 1
LCM(66774,66779) = ( 66774 × 66779) / 1
LCM(66774,66779) = 4459100946 / 1
LCM(66774,66779) = 4459100946

Least Common Multiple (LCM) of 66774 and 66779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66774 and 66779. First we will calculate the prime factors of 66774 and 66779.

Prime Factorization of 66774

Prime factors of 66774 are 2, 3, 31, 359. Prime factorization of 66774 in exponential form is:

66774 = 21 × 31 × 311 × 3591

Prime Factorization of 66779

Prime factors of 66779 are 43, 1553. Prime factorization of 66779 in exponential form is:

66779 = 431 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 66774 and 66779.

LCM(66774,66779) = 21 × 31 × 311 × 3591 × 431 × 15531
LCM(66774,66779) = 4459100946