What is the Least Common Multiple of 79131 and 79151?
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 79131 and 79151 is 6263297781.
LCM(79131,79151) = 6263297781
Least Common Multiple of 79131 and 79151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79131 and 79151, than apply into the LCM equation.
GCF(79131,79151) = 1
LCM(79131,79151) = ( 79131 × 79151) / 1
LCM(79131,79151) = 6263297781 / 1
LCM(79131,79151) = 6263297781
Least Common Multiple (LCM) of 79131 and 79151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79131 and 79151. First we will calculate the prime factors of 79131 and 79151.
Prime Factorization of 79131
Prime factors of 79131 are 3, 13, 2029. Prime factorization of 79131 in exponential form is:
79131 = 31 × 131 × 20291
Prime Factorization of 79151
Prime factors of 79151 are 79151. Prime factorization of 79151 in exponential form is:
79151 = 791511
Now multiplying the highest exponent prime factors to calculate the LCM of 79131 and 79151.
LCM(79131,79151) = 31 × 131 × 20291 × 791511
LCM(79131,79151) = 6263297781
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