What is the Least Common Multiple of 81119 and 81139?
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 81119 and 81139 is 6581914541.
LCM(81119,81139) = 6581914541
Least Common Multiple of 81119 and 81139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81119 and 81139, than apply into the LCM equation.
GCF(81119,81139) = 1
LCM(81119,81139) = ( 81119 × 81139) / 1
LCM(81119,81139) = 6581914541 / 1
LCM(81119,81139) = 6581914541
Least Common Multiple (LCM) of 81119 and 81139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81119 and 81139. First we will calculate the prime factors of 81119 and 81139.
Prime Factorization of 81119
Prime factors of 81119 are 81119. Prime factorization of 81119 in exponential form is:
81119 = 811191
Prime Factorization of 81139
Prime factors of 81139 are 41, 1979. Prime factorization of 81139 in exponential form is:
81139 = 411 × 19791
Now multiplying the highest exponent prime factors to calculate the LCM of 81119 and 81139.
LCM(81119,81139) = 811191 × 411 × 19791
LCM(81119,81139) = 6581914541
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