What is the Least Common Multiple of 10418 and 10432?
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 10418 and 10432 is 54340288.
LCM(10418,10432) = 54340288
Least Common Multiple of 10418 and 10432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10418 and 10432, than apply into the LCM equation.
GCF(10418,10432) = 2
LCM(10418,10432) = ( 10418 × 10432) / 2
LCM(10418,10432) = 108680576 / 2
LCM(10418,10432) = 54340288
Least Common Multiple (LCM) of 10418 and 10432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10418 and 10432. First we will calculate the prime factors of 10418 and 10432.
Prime Factorization of 10418
Prime factors of 10418 are 2, 5209. Prime factorization of 10418 in exponential form is:
10418 = 21 × 52091
Prime Factorization of 10432
Prime factors of 10432 are 2, 163. Prime factorization of 10432 in exponential form is:
10432 = 26 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 10418 and 10432.
LCM(10418,10432) = 26 × 52091 × 1631
LCM(10418,10432) = 54340288
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