What is the Least Common Multiple of 79604 and 79609?
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 79604 and 79609 is 6337194836.
LCM(79604,79609) = 6337194836
Least Common Multiple of 79604 and 79609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79604 and 79609, than apply into the LCM equation.
GCF(79604,79609) = 1
LCM(79604,79609) = ( 79604 × 79609) / 1
LCM(79604,79609) = 6337194836 / 1
LCM(79604,79609) = 6337194836
Least Common Multiple (LCM) of 79604 and 79609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79604 and 79609. First we will calculate the prime factors of 79604 and 79609.
Prime Factorization of 79604
Prime factors of 79604 are 2, 7, 2843. Prime factorization of 79604 in exponential form is:
79604 = 22 × 71 × 28431
Prime Factorization of 79609
Prime factors of 79609 are 79609. Prime factorization of 79609 in exponential form is:
79609 = 796091
Now multiplying the highest exponent prime factors to calculate the LCM of 79604 and 79609.
LCM(79604,79609) = 22 × 71 × 28431 × 796091
LCM(79604,79609) = 6337194836
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