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What is the Least Common Multiple of 66236 and 66256?

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 66236 and 66256 is 1097133104.

LCM(66236,66256) = 1097133104

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Least Common Multiple of 66236 and 66256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66236 and 66256, than apply into the LCM equation.

GCF(66236,66256) = 4
LCM(66236,66256) = ( 66236 × 66256) / 4
LCM(66236,66256) = 4388532416 / 4
LCM(66236,66256) = 1097133104

Least Common Multiple (LCM) of 66236 and 66256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66236 and 66256. First we will calculate the prime factors of 66236 and 66256.

Prime Factorization of 66236

Prime factors of 66236 are 2, 29, 571. Prime factorization of 66236 in exponential form is:

66236 = 22 × 291 × 5711

Prime Factorization of 66256

Prime factors of 66256 are 2, 41, 101. Prime factorization of 66256 in exponential form is:

66256 = 24 × 411 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 66236 and 66256.

LCM(66236,66256) = 24 × 291 × 5711 × 411 × 1011
LCM(66236,66256) = 1097133104