What is the Least Common Multiple of 79127 and 79142?
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 79127 and 79142 is 6262269034.
LCM(79127,79142) = 6262269034
Least Common Multiple of 79127 and 79142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79127 and 79142, than apply into the LCM equation.
GCF(79127,79142) = 1
LCM(79127,79142) = ( 79127 × 79142) / 1
LCM(79127,79142) = 6262269034 / 1
LCM(79127,79142) = 6262269034
Least Common Multiple (LCM) of 79127 and 79142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79127 and 79142. First we will calculate the prime factors of 79127 and 79142.
Prime Factorization of 79127
Prime factors of 79127 are 67, 1181. Prime factorization of 79127 in exponential form is:
79127 = 671 × 11811
Prime Factorization of 79142
Prime factors of 79142 are 2, 7, 5653. Prime factorization of 79142 in exponential form is:
79142 = 21 × 71 × 56531
Now multiplying the highest exponent prime factors to calculate the LCM of 79127 and 79142.
LCM(79127,79142) = 671 × 11811 × 21 × 71 × 56531
LCM(79127,79142) = 6262269034
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