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What is the Least Common Multiple of 66292 and 66304?

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 66292 and 66304 is 1098856192.

LCM(66292,66304) = 1098856192

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Least Common Multiple of 66292 and 66304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66292 and 66304, than apply into the LCM equation.

GCF(66292,66304) = 4
LCM(66292,66304) = ( 66292 × 66304) / 4
LCM(66292,66304) = 4395424768 / 4
LCM(66292,66304) = 1098856192

Least Common Multiple (LCM) of 66292 and 66304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66292 and 66304. First we will calculate the prime factors of 66292 and 66304.

Prime Factorization of 66292

Prime factors of 66292 are 2, 16573. Prime factorization of 66292 in exponential form is:

66292 = 22 × 165731

Prime Factorization of 66304

Prime factors of 66304 are 2, 7, 37. Prime factorization of 66304 in exponential form is:

66304 = 28 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 66292 and 66304.

LCM(66292,66304) = 28 × 165731 × 71 × 371
LCM(66292,66304) = 1098856192