What is the Least Common Multiple of 49075 and 49079?
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 49075 and 49079 is 2408551925.
LCM(49075,49079) = 2408551925
Least Common Multiple of 49075 and 49079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49075 and 49079, than apply into the LCM equation.
GCF(49075,49079) = 1
LCM(49075,49079) = ( 49075 × 49079) / 1
LCM(49075,49079) = 2408551925 / 1
LCM(49075,49079) = 2408551925
Least Common Multiple (LCM) of 49075 and 49079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49075 and 49079. First we will calculate the prime factors of 49075 and 49079.
Prime Factorization of 49075
Prime factors of 49075 are 5, 13, 151. Prime factorization of 49075 in exponential form is:
49075 = 52 × 131 × 1511
Prime Factorization of 49079
Prime factors of 49079 are 17, 2887. Prime factorization of 49079 in exponential form is:
49079 = 171 × 28871
Now multiplying the highest exponent prime factors to calculate the LCM of 49075 and 49079.
LCM(49075,49079) = 52 × 131 × 1511 × 171 × 28871
LCM(49075,49079) = 2408551925
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