What is the Least Common Multiple of 8479 and 8483?
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 8479 and 8483 is 71927357.
LCM(8479,8483) = 71927357
Least Common Multiple of 8479 and 8483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8479 and 8483, than apply into the LCM equation.
GCF(8479,8483) = 1
LCM(8479,8483) = ( 8479 × 8483) / 1
LCM(8479,8483) = 71927357 / 1
LCM(8479,8483) = 71927357
Least Common Multiple (LCM) of 8479 and 8483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8479 and 8483. First we will calculate the prime factors of 8479 and 8483.
Prime Factorization of 8479
Prime factors of 8479 are 61, 139. Prime factorization of 8479 in exponential form is:
8479 = 611 × 1391
Prime Factorization of 8483
Prime factors of 8483 are 17, 499. Prime factorization of 8483 in exponential form is:
8483 = 171 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 8479 and 8483.
LCM(8479,8483) = 611 × 1391 × 171 × 4991
LCM(8479,8483) = 71927357
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