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What is the Least Common Multiple of 67389 and 67400?

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 67389 and 67400 is 4542018600.

LCM(67389,67400) = 4542018600

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Least Common Multiple of 67389 and 67400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67389 and 67400, than apply into the LCM equation.

GCF(67389,67400) = 1
LCM(67389,67400) = ( 67389 × 67400) / 1
LCM(67389,67400) = 4542018600 / 1
LCM(67389,67400) = 4542018600

Least Common Multiple (LCM) of 67389 and 67400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67389 and 67400. First we will calculate the prime factors of 67389 and 67400.

Prime Factorization of 67389

Prime factors of 67389 are 3, 7, 3209. Prime factorization of 67389 in exponential form is:

67389 = 31 × 71 × 32091

Prime Factorization of 67400

Prime factors of 67400 are 2, 5, 337. Prime factorization of 67400 in exponential form is:

67400 = 23 × 52 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 67389 and 67400.

LCM(67389,67400) = 31 × 71 × 32091 × 23 × 52 × 3371
LCM(67389,67400) = 4542018600