What is the Least Common Multiple of 12496 and 12505?
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 12496 and 12505 is 156262480.
LCM(12496,12505) = 156262480
Least Common Multiple of 12496 and 12505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12496 and 12505, than apply into the LCM equation.
GCF(12496,12505) = 1
LCM(12496,12505) = ( 12496 × 12505) / 1
LCM(12496,12505) = 156262480 / 1
LCM(12496,12505) = 156262480
Least Common Multiple (LCM) of 12496 and 12505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12496 and 12505. First we will calculate the prime factors of 12496 and 12505.
Prime Factorization of 12496
Prime factors of 12496 are 2, 11, 71. Prime factorization of 12496 in exponential form is:
12496 = 24 × 111 × 711
Prime Factorization of 12505
Prime factors of 12505 are 5, 41, 61. Prime factorization of 12505 in exponential form is:
12505 = 51 × 411 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 12496 and 12505.
LCM(12496,12505) = 24 × 111 × 711 × 51 × 411 × 611
LCM(12496,12505) = 156262480
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