What is the Least Common Multiple of 77048 and 77063?
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 77048 and 77063 is 5937550024.
LCM(77048,77063) = 5937550024
Least Common Multiple of 77048 and 77063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77048 and 77063, than apply into the LCM equation.
GCF(77048,77063) = 1
LCM(77048,77063) = ( 77048 × 77063) / 1
LCM(77048,77063) = 5937550024 / 1
LCM(77048,77063) = 5937550024
Least Common Multiple (LCM) of 77048 and 77063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77048 and 77063. First we will calculate the prime factors of 77048 and 77063.
Prime Factorization of 77048
Prime factors of 77048 are 2, 9631. Prime factorization of 77048 in exponential form is:
77048 = 23 × 96311
Prime Factorization of 77063
Prime factors of 77063 are 7, 101, 109. Prime factorization of 77063 in exponential form is:
77063 = 71 × 1011 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 77048 and 77063.
LCM(77048,77063) = 23 × 96311 × 71 × 1011 × 1091
LCM(77048,77063) = 5937550024
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