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What is the Least Common Multiple of 6398 and 6402?

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 6398 and 6402 is 20479998.

LCM(6398,6402) = 20479998

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Least Common Multiple of 6398 and 6402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6398 and 6402, than apply into the LCM equation.

GCF(6398,6402) = 2
LCM(6398,6402) = ( 6398 × 6402) / 2
LCM(6398,6402) = 40959996 / 2
LCM(6398,6402) = 20479998

Least Common Multiple (LCM) of 6398 and 6402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6398 and 6402. First we will calculate the prime factors of 6398 and 6402.

Prime Factorization of 6398

Prime factors of 6398 are 2, 7, 457. Prime factorization of 6398 in exponential form is:

6398 = 21 × 71 × 4571

Prime Factorization of 6402

Prime factors of 6402 are 2, 3, 11, 97. Prime factorization of 6402 in exponential form is:

6402 = 21 × 31 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 6398 and 6402.

LCM(6398,6402) = 21 × 71 × 4571 × 31 × 111 × 971
LCM(6398,6402) = 20479998