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What is the Least Common Multiple of 66424 and 66438?

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 66438 is 2206538856.

LCM(66424,66438) = 2206538856

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Least Common Multiple of 66424 and 66438 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 66438, than apply into the LCM equation.

GCF(66424,66438) = 2
LCM(66424,66438) = ( 66424 × 66438) / 2
LCM(66424,66438) = 4413077712 / 2
LCM(66424,66438) = 2206538856

Least Common Multiple (LCM) of 66424 and 66438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66424 and 66438. First we will calculate the prime factors of 66424 and 66438.

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 66438

Prime factors of 66438 are 2, 3, 3691. Prime factorization of 66438 in exponential form is:

66438 = 21 × 32 × 36911

Now multiplying the highest exponent prime factors to calculate the LCM of 66424 and 66438.

LCM(66424,66438) = 23 × 192 × 231 × 32 × 36911
LCM(66424,66438) = 2206538856