What is the Least Common Multiple of 95031 and 95050?
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 95031 and 95050 is 9032696550.
LCM(95031,95050) = 9032696550
Least Common Multiple of 95031 and 95050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95031 and 95050, than apply into the LCM equation.
GCF(95031,95050) = 1
LCM(95031,95050) = ( 95031 × 95050) / 1
LCM(95031,95050) = 9032696550 / 1
LCM(95031,95050) = 9032696550
Least Common Multiple (LCM) of 95031 and 95050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95031 and 95050. First we will calculate the prime factors of 95031 and 95050.
Prime Factorization of 95031
Prime factors of 95031 are 3, 10559. Prime factorization of 95031 in exponential form is:
95031 = 32 × 105591
Prime Factorization of 95050
Prime factors of 95050 are 2, 5, 1901. Prime factorization of 95050 in exponential form is:
95050 = 21 × 52 × 19011
Now multiplying the highest exponent prime factors to calculate the LCM of 95031 and 95050.
LCM(95031,95050) = 32 × 105591 × 21 × 52 × 19011
LCM(95031,95050) = 9032696550
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