What is the Least Common Multiple of 79618 and 79623?
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 79618 and 79623 is 6339424014.
LCM(79618,79623) = 6339424014
Least Common Multiple of 79618 and 79623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79618 and 79623, than apply into the LCM equation.
GCF(79618,79623) = 1
LCM(79618,79623) = ( 79618 × 79623) / 1
LCM(79618,79623) = 6339424014 / 1
LCM(79618,79623) = 6339424014
Least Common Multiple (LCM) of 79618 and 79623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79618 and 79623. First we will calculate the prime factors of 79618 and 79623.
Prime Factorization of 79618
Prime factors of 79618 are 2, 7, 11, 47. Prime factorization of 79618 in exponential form is:
79618 = 21 × 71 × 112 × 471
Prime Factorization of 79623
Prime factors of 79623 are 3, 983. Prime factorization of 79623 in exponential form is:
79623 = 34 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 79618 and 79623.
LCM(79618,79623) = 21 × 71 × 112 × 471 × 34 × 9831
LCM(79618,79623) = 6339424014
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