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What is the Least Common Multiple of 66419 and 66434?

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 66419 and 66434 is 4412479846.

LCM(66419,66434) = 4412479846

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Least Common Multiple of 66419 and 66434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66419 and 66434, than apply into the LCM equation.

GCF(66419,66434) = 1
LCM(66419,66434) = ( 66419 × 66434) / 1
LCM(66419,66434) = 4412479846 / 1
LCM(66419,66434) = 4412479846

Least Common Multiple (LCM) of 66419 and 66434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66419 and 66434. First we will calculate the prime factors of 66419 and 66434.

Prime Factorization of 66419

Prime factors of 66419 are 17, 3907. Prime factorization of 66419 in exponential form is:

66419 = 171 × 39071

Prime Factorization of 66434

Prime factors of 66434 are 2, 59, 563. Prime factorization of 66434 in exponential form is:

66434 = 21 × 591 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 66419 and 66434.

LCM(66419,66434) = 171 × 39071 × 21 × 591 × 5631
LCM(66419,66434) = 4412479846