What is the Least Common Multiple of 62081 and 62089?
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 62081 and 62089 is 3854547209.
LCM(62081,62089) = 3854547209
Least Common Multiple of 62081 and 62089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62081 and 62089, than apply into the LCM equation.
GCF(62081,62089) = 1
LCM(62081,62089) = ( 62081 × 62089) / 1
LCM(62081,62089) = 3854547209 / 1
LCM(62081,62089) = 3854547209
Least Common Multiple (LCM) of 62081 and 62089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62081 and 62089. First we will calculate the prime factors of 62081 and 62089.
Prime Factorization of 62081
Prime factors of 62081 are 62081. Prime factorization of 62081 in exponential form is:
62081 = 620811
Prime Factorization of 62089
Prime factors of 62089 are 29, 2141. Prime factorization of 62089 in exponential form is:
62089 = 291 × 21411
Now multiplying the highest exponent prime factors to calculate the LCM of 62081 and 62089.
LCM(62081,62089) = 620811 × 291 × 21411
LCM(62081,62089) = 3854547209
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