What is the Least Common Multiple of 48893 and 48913?
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 48893 and 48913 is 2391503309.
LCM(48893,48913) = 2391503309
Least Common Multiple of 48893 and 48913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48893 and 48913, than apply into the LCM equation.
GCF(48893,48913) = 1
LCM(48893,48913) = ( 48893 × 48913) / 1
LCM(48893,48913) = 2391503309 / 1
LCM(48893,48913) = 2391503309
Least Common Multiple (LCM) of 48893 and 48913 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48893 and 48913. First we will calculate the prime factors of 48893 and 48913.
Prime Factorization of 48893
Prime factors of 48893 are 13, 3761. Prime factorization of 48893 in exponential form is:
48893 = 131 × 37611
Prime Factorization of 48913
Prime factors of 48913 are 41, 1193. Prime factorization of 48913 in exponential form is:
48913 = 411 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 48893 and 48913.
LCM(48893,48913) = 131 × 37611 × 411 × 11931
LCM(48893,48913) = 2391503309
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