What is the Least Common Multiple of 48772 and 48779?
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 48772 and 48779 is 2379049388.
LCM(48772,48779) = 2379049388
Least Common Multiple of 48772 and 48779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48772 and 48779, than apply into the LCM equation.
GCF(48772,48779) = 1
LCM(48772,48779) = ( 48772 × 48779) / 1
LCM(48772,48779) = 2379049388 / 1
LCM(48772,48779) = 2379049388
Least Common Multiple (LCM) of 48772 and 48779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48772 and 48779. First we will calculate the prime factors of 48772 and 48779.
Prime Factorization of 48772
Prime factors of 48772 are 2, 89, 137. Prime factorization of 48772 in exponential form is:
48772 = 22 × 891 × 1371
Prime Factorization of 48779
Prime factors of 48779 are 48779. Prime factorization of 48779 in exponential form is:
48779 = 487791
Now multiplying the highest exponent prime factors to calculate the LCM of 48772 and 48779.
LCM(48772,48779) = 22 × 891 × 1371 × 487791
LCM(48772,48779) = 2379049388
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