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What is the Least Common Multiple of 66250 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 66250 and 66256 is 2194730000.

LCM(66250,66256) = 2194730000

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Least Common Multiple of 66250 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 66250 and 66256, than apply into the LCM equation.

GCF(66250,66256) = 2
LCM(66250,66256) = ( 66250 × 66256) / 2
LCM(66250,66256) = 4389460000 / 2
LCM(66250,66256) = 2194730000

Least Common Multiple (LCM) of 66250 and 66256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66250 and 66256. First we will calculate the prime factors of 66250 and 66256.

Prime Factorization of 66250

Prime factors of 66250 are 2, 5, 53. Prime factorization of 66250 in exponential form is:

66250 = 21 × 54 × 531

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 66250 and 66256.

LCM(66250,66256) = 24 × 54 × 531 × 411 × 1011
LCM(66250,66256) = 2194730000