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What is the Least Common Multiple of 67292 and 67300?

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 67292 and 67300 is 1132187900.

LCM(67292,67300) = 1132187900

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Least Common Multiple of 67292 and 67300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67292 and 67300, than apply into the LCM equation.

GCF(67292,67300) = 4
LCM(67292,67300) = ( 67292 × 67300) / 4
LCM(67292,67300) = 4528751600 / 4
LCM(67292,67300) = 1132187900

Least Common Multiple (LCM) of 67292 and 67300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67292 and 67300. First we will calculate the prime factors of 67292 and 67300.

Prime Factorization of 67292

Prime factors of 67292 are 2, 16823. Prime factorization of 67292 in exponential form is:

67292 = 22 × 168231

Prime Factorization of 67300

Prime factors of 67300 are 2, 5, 673. Prime factorization of 67300 in exponential form is:

67300 = 22 × 52 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 67292 and 67300.

LCM(67292,67300) = 22 × 168231 × 52 × 6731
LCM(67292,67300) = 1132187900