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What is the Least Common Multiple of 67361 and 67380?

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 67361 and 67380 is 4538784180.

LCM(67361,67380) = 4538784180

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Least Common Multiple of 67361 and 67380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67361 and 67380, than apply into the LCM equation.

GCF(67361,67380) = 1
LCM(67361,67380) = ( 67361 × 67380) / 1
LCM(67361,67380) = 4538784180 / 1
LCM(67361,67380) = 4538784180

Least Common Multiple (LCM) of 67361 and 67380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67361 and 67380. First we will calculate the prime factors of 67361 and 67380.

Prime Factorization of 67361

Prime factors of 67361 are 7, 9623. Prime factorization of 67361 in exponential form is:

67361 = 71 × 96231

Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 22 × 31 × 51 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 67361 and 67380.

LCM(67361,67380) = 71 × 96231 × 22 × 31 × 51 × 11231
LCM(67361,67380) = 4538784180