What is the Least Common Multiple of 70850 and 70857?
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 70850 and 70857 is 5020218450.
LCM(70850,70857) = 5020218450
Least Common Multiple of 70850 and 70857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70850 and 70857, than apply into the LCM equation.
GCF(70850,70857) = 1
LCM(70850,70857) = ( 70850 × 70857) / 1
LCM(70850,70857) = 5020218450 / 1
LCM(70850,70857) = 5020218450
Least Common Multiple (LCM) of 70850 and 70857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70850 and 70857. First we will calculate the prime factors of 70850 and 70857.
Prime Factorization of 70850
Prime factors of 70850 are 2, 5, 13, 109. Prime factorization of 70850 in exponential form is:
70850 = 21 × 52 × 131 × 1091
Prime Factorization of 70857
Prime factors of 70857 are 3, 7873. Prime factorization of 70857 in exponential form is:
70857 = 32 × 78731
Now multiplying the highest exponent prime factors to calculate the LCM of 70850 and 70857.
LCM(70850,70857) = 21 × 52 × 131 × 1091 × 32 × 78731
LCM(70850,70857) = 5020218450
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