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
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
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