What is the Least Common Multiple of 66190 and 66201?
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 66190 and 66201 is 4381844190.
LCM(66190,66201) = 4381844190
Least Common Multiple of 66190 and 66201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66190 and 66201, than apply into the LCM equation.
GCF(66190,66201) = 1
LCM(66190,66201) = ( 66190 × 66201) / 1
LCM(66190,66201) = 4381844190 / 1
LCM(66190,66201) = 4381844190
Least Common Multiple (LCM) of 66190 and 66201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66190 and 66201. First we will calculate the prime factors of 66190 and 66201.
Prime Factorization of 66190
Prime factors of 66190 are 2, 5, 6619. Prime factorization of 66190 in exponential form is:
66190 = 21 × 51 × 66191
Prime Factorization of 66201
Prime factors of 66201 are 3, 22067. Prime factorization of 66201 in exponential form is:
66201 = 31 × 220671
Now multiplying the highest exponent prime factors to calculate the LCM of 66190 and 66201.
LCM(66190,66201) = 21 × 51 × 66191 × 31 × 220671
LCM(66190,66201) = 4381844190
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