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What is the Least Common Multiple of 67448 and 67463?

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 67448 and 67463 is 4550244424.

LCM(67448,67463) = 4550244424

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Least Common Multiple of 67448 and 67463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67448 and 67463, than apply into the LCM equation.

GCF(67448,67463) = 1
LCM(67448,67463) = ( 67448 × 67463) / 1
LCM(67448,67463) = 4550244424 / 1
LCM(67448,67463) = 4550244424

Least Common Multiple (LCM) of 67448 and 67463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67448 and 67463. First we will calculate the prime factors of 67448 and 67463.

Prime Factorization of 67448

Prime factors of 67448 are 2, 8431. Prime factorization of 67448 in exponential form is:

67448 = 23 × 84311

Prime Factorization of 67463

Prime factors of 67463 are 11, 6133. Prime factorization of 67463 in exponential form is:

67463 = 111 × 61331

Now multiplying the highest exponent prime factors to calculate the LCM of 67448 and 67463.

LCM(67448,67463) = 23 × 84311 × 111 × 61331
LCM(67448,67463) = 4550244424