What is the Least Common Multiple of 2475 and 2483?
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 2475 and 2483 is 6145425.
LCM(2475,2483) = 6145425
Least Common Multiple of 2475 and 2483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2475 and 2483, than apply into the LCM equation.
GCF(2475,2483) = 1
LCM(2475,2483) = ( 2475 × 2483) / 1
LCM(2475,2483) = 6145425 / 1
LCM(2475,2483) = 6145425
Least Common Multiple (LCM) of 2475 and 2483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2483. First we will calculate the prime factors of 2475 and 2483.
Prime Factorization of 2475
Prime factors of 2475 are 3, 5, 11. Prime factorization of 2475 in exponential form is:
2475 = 32 × 52 × 111
Prime Factorization of 2483
Prime factors of 2483 are 13, 191. Prime factorization of 2483 in exponential form is:
2483 = 131 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2483.
LCM(2475,2483) = 32 × 52 × 111 × 131 × 1911
LCM(2475,2483) = 6145425
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