What is the Least Common Multiple of 10465 and 10483?
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 10465 and 10483 is 109704595.
LCM(10465,10483) = 109704595
Least Common Multiple of 10465 and 10483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10465 and 10483, than apply into the LCM equation.
GCF(10465,10483) = 1
LCM(10465,10483) = ( 10465 × 10483) / 1
LCM(10465,10483) = 109704595 / 1
LCM(10465,10483) = 109704595
Least Common Multiple (LCM) of 10465 and 10483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10465 and 10483. First we will calculate the prime factors of 10465 and 10483.
Prime Factorization of 10465
Prime factors of 10465 are 5, 7, 13, 23. Prime factorization of 10465 in exponential form is:
10465 = 51 × 71 × 131 × 231
Prime Factorization of 10483
Prime factors of 10483 are 11, 953. Prime factorization of 10483 in exponential form is:
10483 = 111 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 10465 and 10483.
LCM(10465,10483) = 51 × 71 × 131 × 231 × 111 × 9531
LCM(10465,10483) = 109704595
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