What is the Least Common Multiple of 47913 and 47923?
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 47913 and 47923 is 2296134699.
LCM(47913,47923) = 2296134699
Least Common Multiple of 47913 and 47923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47913 and 47923, than apply into the LCM equation.
GCF(47913,47923) = 1
LCM(47913,47923) = ( 47913 × 47923) / 1
LCM(47913,47923) = 2296134699 / 1
LCM(47913,47923) = 2296134699
Least Common Multiple (LCM) of 47913 and 47923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47913 and 47923. First we will calculate the prime factors of 47913 and 47923.
Prime Factorization of 47913
Prime factors of 47913 are 3, 15971. Prime factorization of 47913 in exponential form is:
47913 = 31 × 159711
Prime Factorization of 47923
Prime factors of 47923 are 17, 2819. Prime factorization of 47923 in exponential form is:
47923 = 171 × 28191
Now multiplying the highest exponent prime factors to calculate the LCM of 47913 and 47923.
LCM(47913,47923) = 31 × 159711 × 171 × 28191
LCM(47913,47923) = 2296134699
Related Least Common Multiples of 47913
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Related Least Common Multiples of 47923
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