What is the Least Common Multiple of 79594 and 79607?
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 79594 and 79607 is 6336239558.
LCM(79594,79607) = 6336239558
Least Common Multiple of 79594 and 79607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79594 and 79607, than apply into the LCM equation.
GCF(79594,79607) = 1
LCM(79594,79607) = ( 79594 × 79607) / 1
LCM(79594,79607) = 6336239558 / 1
LCM(79594,79607) = 6336239558
Least Common Multiple (LCM) of 79594 and 79607 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79594 and 79607. First we will calculate the prime factors of 79594 and 79607.
Prime Factorization of 79594
Prime factors of 79594 are 2, 17, 2341. Prime factorization of 79594 in exponential form is:
79594 = 21 × 171 × 23411
Prime Factorization of 79607
Prime factors of 79607 are 11, 7237. Prime factorization of 79607 in exponential form is:
79607 = 111 × 72371
Now multiplying the highest exponent prime factors to calculate the LCM of 79594 and 79607.
LCM(79594,79607) = 21 × 171 × 23411 × 111 × 72371
LCM(79594,79607) = 6336239558
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