What is the Least Common Multiple of 39050 and 39067?
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 39050 and 39067 is 1525566350.
LCM(39050,39067) = 1525566350
Least Common Multiple of 39050 and 39067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39050 and 39067, than apply into the LCM equation.
GCF(39050,39067) = 1
LCM(39050,39067) = ( 39050 × 39067) / 1
LCM(39050,39067) = 1525566350 / 1
LCM(39050,39067) = 1525566350
Least Common Multiple (LCM) of 39050 and 39067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39050 and 39067. First we will calculate the prime factors of 39050 and 39067.
Prime Factorization of 39050
Prime factors of 39050 are 2, 5, 11, 71. Prime factorization of 39050 in exponential form is:
39050 = 21 × 52 × 111 × 711
Prime Factorization of 39067
Prime factors of 39067 are 7, 5581. Prime factorization of 39067 in exponential form is:
39067 = 71 × 55811
Now multiplying the highest exponent prime factors to calculate the LCM of 39050 and 39067.
LCM(39050,39067) = 21 × 52 × 111 × 711 × 71 × 55811
LCM(39050,39067) = 1525566350
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