What is the Least Common Multiple of 79051 and 79066?
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 79051 and 79066 is 6250246366.
LCM(79051,79066) = 6250246366
Least Common Multiple of 79051 and 79066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79051 and 79066, than apply into the LCM equation.
GCF(79051,79066) = 1
LCM(79051,79066) = ( 79051 × 79066) / 1
LCM(79051,79066) = 6250246366 / 1
LCM(79051,79066) = 6250246366
Least Common Multiple (LCM) of 79051 and 79066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79051 and 79066. First we will calculate the prime factors of 79051 and 79066.
Prime Factorization of 79051
Prime factors of 79051 are 7, 23, 491. Prime factorization of 79051 in exponential form is:
79051 = 71 × 231 × 4911
Prime Factorization of 79066
Prime factors of 79066 are 2, 13, 3041. Prime factorization of 79066 in exponential form is:
79066 = 21 × 131 × 30411
Now multiplying the highest exponent prime factors to calculate the LCM of 79051 and 79066.
LCM(79051,79066) = 71 × 231 × 4911 × 21 × 131 × 30411
LCM(79051,79066) = 6250246366
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