What is the Least Common Multiple of 19913 and 19925?
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 19913 and 19925 is 396766525.
LCM(19913,19925) = 396766525
Least Common Multiple of 19913 and 19925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19913 and 19925, than apply into the LCM equation.
GCF(19913,19925) = 1
LCM(19913,19925) = ( 19913 × 19925) / 1
LCM(19913,19925) = 396766525 / 1
LCM(19913,19925) = 396766525
Least Common Multiple (LCM) of 19913 and 19925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19913 and 19925. First we will calculate the prime factors of 19913 and 19925.
Prime Factorization of 19913
Prime factors of 19913 are 19913. Prime factorization of 19913 in exponential form is:
19913 = 199131
Prime Factorization of 19925
Prime factors of 19925 are 5, 797. Prime factorization of 19925 in exponential form is:
19925 = 52 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 19913 and 19925.
LCM(19913,19925) = 199131 × 52 × 7971
LCM(19913,19925) = 396766525
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