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What is the Least Common Multiple of 66424 and 66428?

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 66424 and 66428 is 1103103368.

LCM(66424,66428) = 1103103368

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Least Common Multiple of 66424 and 66428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66424 and 66428, than apply into the LCM equation.

GCF(66424,66428) = 4
LCM(66424,66428) = ( 66424 × 66428) / 4
LCM(66424,66428) = 4412413472 / 4
LCM(66424,66428) = 1103103368

Least Common Multiple (LCM) of 66424 and 66428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66424 and 66428. First we will calculate the prime factors of 66424 and 66428.

Prime Factorization of 66424

Prime factors of 66424 are 2, 19, 23. Prime factorization of 66424 in exponential form is:

66424 = 23 × 192 × 231

Prime Factorization of 66428

Prime factors of 66428 are 2, 16607. Prime factorization of 66428 in exponential form is:

66428 = 22 × 166071

Now multiplying the highest exponent prime factors to calculate the LCM of 66424 and 66428.

LCM(66424,66428) = 23 × 192 × 231 × 166071
LCM(66424,66428) = 1103103368