What is the Least Common Multiple of 95073 and 95080?
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 95073 and 95080 is 9039540840.
LCM(95073,95080) = 9039540840
Least Common Multiple of 95073 and 95080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95073 and 95080, than apply into the LCM equation.
GCF(95073,95080) = 1
LCM(95073,95080) = ( 95073 × 95080) / 1
LCM(95073,95080) = 9039540840 / 1
LCM(95073,95080) = 9039540840
Least Common Multiple (LCM) of 95073 and 95080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95073 and 95080. First we will calculate the prime factors of 95073 and 95080.
Prime Factorization of 95073
Prime factors of 95073 are 3, 11, 43, 67. Prime factorization of 95073 in exponential form is:
95073 = 31 × 111 × 431 × 671
Prime Factorization of 95080
Prime factors of 95080 are 2, 5, 2377. Prime factorization of 95080 in exponential form is:
95080 = 23 × 51 × 23771
Now multiplying the highest exponent prime factors to calculate the LCM of 95073 and 95080.
LCM(95073,95080) = 31 × 111 × 431 × 671 × 23 × 51 × 23771
LCM(95073,95080) = 9039540840
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