What is the Least Common Multiple of 81139 and 81151?
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 81139 and 81151 is 6584510989.
LCM(81139,81151) = 6584510989
Least Common Multiple of 81139 and 81151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81139 and 81151, than apply into the LCM equation.
GCF(81139,81151) = 1
LCM(81139,81151) = ( 81139 × 81151) / 1
LCM(81139,81151) = 6584510989 / 1
LCM(81139,81151) = 6584510989
Least Common Multiple (LCM) of 81139 and 81151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81139 and 81151. First we will calculate the prime factors of 81139 and 81151.
Prime Factorization of 81139
Prime factors of 81139 are 41, 1979. Prime factorization of 81139 in exponential form is:
81139 = 411 × 19791
Prime Factorization of 81151
Prime factors of 81151 are 7, 11593. Prime factorization of 81151 in exponential form is:
81151 = 71 × 115931
Now multiplying the highest exponent prime factors to calculate the LCM of 81139 and 81151.
LCM(81139,81151) = 411 × 19791 × 71 × 115931
LCM(81139,81151) = 6584510989
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