What is the Least Common Multiple of 70181 and 70190?
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 70181 and 70190 is 4926004390.
LCM(70181,70190) = 4926004390
Least Common Multiple of 70181 and 70190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70181 and 70190, than apply into the LCM equation.
GCF(70181,70190) = 1
LCM(70181,70190) = ( 70181 × 70190) / 1
LCM(70181,70190) = 4926004390 / 1
LCM(70181,70190) = 4926004390
Least Common Multiple (LCM) of 70181 and 70190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70181 and 70190. First we will calculate the prime factors of 70181 and 70190.
Prime Factorization of 70181
Prime factors of 70181 are 70181. Prime factorization of 70181 in exponential form is:
70181 = 701811
Prime Factorization of 70190
Prime factors of 70190 are 2, 5, 7019. Prime factorization of 70190 in exponential form is:
70190 = 21 × 51 × 70191
Now multiplying the highest exponent prime factors to calculate the LCM of 70181 and 70190.
LCM(70181,70190) = 701811 × 21 × 51 × 70191
LCM(70181,70190) = 4926004390
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