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What is the Least Common Multiple of 67379 and 67396?

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 67379 and 67396 is 4541075084.

LCM(67379,67396) = 4541075084

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Least Common Multiple of 67379 and 67396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67379 and 67396, than apply into the LCM equation.

GCF(67379,67396) = 1
LCM(67379,67396) = ( 67379 × 67396) / 1
LCM(67379,67396) = 4541075084 / 1
LCM(67379,67396) = 4541075084

Least Common Multiple (LCM) of 67379 and 67396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67379 and 67396. First we will calculate the prime factors of 67379 and 67396.

Prime Factorization of 67379

Prime factors of 67379 are 13, 71, 73. Prime factorization of 67379 in exponential form is:

67379 = 131 × 711 × 731

Prime Factorization of 67396

Prime factors of 67396 are 2, 7, 29, 83. Prime factorization of 67396 in exponential form is:

67396 = 22 × 71 × 291 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 67379 and 67396.

LCM(67379,67396) = 131 × 711 × 731 × 22 × 71 × 291 × 831
LCM(67379,67396) = 4541075084