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What is the Least Common Multiple of 67350 and 67364?

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 67350 and 67364 is 2268482700.

LCM(67350,67364) = 2268482700

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Least Common Multiple of 67350 and 67364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67350 and 67364, than apply into the LCM equation.

GCF(67350,67364) = 2
LCM(67350,67364) = ( 67350 × 67364) / 2
LCM(67350,67364) = 4536965400 / 2
LCM(67350,67364) = 2268482700

Least Common Multiple (LCM) of 67350 and 67364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67350 and 67364. First we will calculate the prime factors of 67350 and 67364.

Prime Factorization of 67350

Prime factors of 67350 are 2, 3, 5, 449. Prime factorization of 67350 in exponential form is:

67350 = 21 × 31 × 52 × 4491

Prime Factorization of 67364

Prime factors of 67364 are 2, 11, 1531. Prime factorization of 67364 in exponential form is:

67364 = 22 × 111 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 67350 and 67364.

LCM(67350,67364) = 22 × 31 × 52 × 4491 × 111 × 15311
LCM(67350,67364) = 2268482700