What is the Least Common Multiple of 79151 and 79155?
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 79151 and 79155 is 6265197405.
LCM(79151,79155) = 6265197405
Least Common Multiple of 79151 and 79155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79151 and 79155, than apply into the LCM equation.
GCF(79151,79155) = 1
LCM(79151,79155) = ( 79151 × 79155) / 1
LCM(79151,79155) = 6265197405 / 1
LCM(79151,79155) = 6265197405
Least Common Multiple (LCM) of 79151 and 79155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79151 and 79155. First we will calculate the prime factors of 79151 and 79155.
Prime Factorization of 79151
Prime factors of 79151 are 79151. Prime factorization of 79151 in exponential form is:
79151 = 791511
Prime Factorization of 79155
Prime factors of 79155 are 3, 5, 1759. Prime factorization of 79155 in exponential form is:
79155 = 32 × 51 × 17591
Now multiplying the highest exponent prime factors to calculate the LCM of 79151 and 79155.
LCM(79151,79155) = 791511 × 32 × 51 × 17591
LCM(79151,79155) = 6265197405
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