What is the Least Common Multiple of 6402 and 6415?
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 6402 and 6415 is 41068830.
LCM(6402,6415) = 41068830
Least Common Multiple of 6402 and 6415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6402 and 6415, than apply into the LCM equation.
GCF(6402,6415) = 1
LCM(6402,6415) = ( 6402 × 6415) / 1
LCM(6402,6415) = 41068830 / 1
LCM(6402,6415) = 41068830
Least Common Multiple (LCM) of 6402 and 6415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6402 and 6415. First we will calculate the prime factors of 6402 and 6415.
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
Prime Factorization of 6415
Prime factors of 6415 are 5, 1283. Prime factorization of 6415 in exponential form is:
6415 = 51 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 6402 and 6415.
LCM(6402,6415) = 21 × 31 × 111 × 971 × 51 × 12831
LCM(6402,6415) = 41068830
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