What is the Least Common Multiple of 79062 and 79081?
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 79062 and 79081 is 6252302022.
LCM(79062,79081) = 6252302022
Least Common Multiple of 79062 and 79081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79062 and 79081, than apply into the LCM equation.
GCF(79062,79081) = 1
LCM(79062,79081) = ( 79062 × 79081) / 1
LCM(79062,79081) = 6252302022 / 1
LCM(79062,79081) = 6252302022
Least Common Multiple (LCM) of 79062 and 79081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79062 and 79081. First we will calculate the prime factors of 79062 and 79081.
Prime Factorization of 79062
Prime factors of 79062 are 2, 3, 13177. Prime factorization of 79062 in exponential form is:
79062 = 21 × 31 × 131771
Prime Factorization of 79081
Prime factors of 79081 are 31, 2551. Prime factorization of 79081 in exponential form is:
79081 = 311 × 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 79062 and 79081.
LCM(79062,79081) = 21 × 31 × 131771 × 311 × 25511
LCM(79062,79081) = 6252302022
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