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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

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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