What is the Least Common Multiple of 6483 and 6502?
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 6483 and 6502 is 42152466.
LCM(6483,6502) = 42152466
Least Common Multiple of 6483 and 6502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6483 and 6502, than apply into the LCM equation.
GCF(6483,6502) = 1
LCM(6483,6502) = ( 6483 × 6502) / 1
LCM(6483,6502) = 42152466 / 1
LCM(6483,6502) = 42152466
Least Common Multiple (LCM) of 6483 and 6502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6483 and 6502. First we will calculate the prime factors of 6483 and 6502.
Prime Factorization of 6483
Prime factors of 6483 are 3, 2161. Prime factorization of 6483 in exponential form is:
6483 = 31 × 21611
Prime Factorization of 6502
Prime factors of 6502 are 2, 3251. Prime factorization of 6502 in exponential form is:
6502 = 21 × 32511
Now multiplying the highest exponent prime factors to calculate the LCM of 6483 and 6502.
LCM(6483,6502) = 31 × 21611 × 21 × 32511
LCM(6483,6502) = 42152466
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