What is the Least Common Multiple of 79117 and 79121?
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 79117 and 79121 is 6259816157.
LCM(79117,79121) = 6259816157
Least Common Multiple of 79117 and 79121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79117 and 79121, than apply into the LCM equation.
GCF(79117,79121) = 1
LCM(79117,79121) = ( 79117 × 79121) / 1
LCM(79117,79121) = 6259816157 / 1
LCM(79117,79121) = 6259816157
Least Common Multiple (LCM) of 79117 and 79121 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79117 and 79121. First we will calculate the prime factors of 79117 and 79121.
Prime Factorization of 79117
Prime factors of 79117 are 61, 1297. Prime factorization of 79117 in exponential form is:
79117 = 611 × 12971
Prime Factorization of 79121
Prime factors of 79121 are 7, 89, 127. Prime factorization of 79121 in exponential form is:
79121 = 71 × 891 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 79117 and 79121.
LCM(79117,79121) = 611 × 12971 × 71 × 891 × 1271
LCM(79117,79121) = 6259816157
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