What is the Least Common Multiple of 74060 and 74079?
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 74060 and 74079 is 5486290740.
LCM(74060,74079) = 5486290740
Least Common Multiple of 74060 and 74079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74060 and 74079, than apply into the LCM equation.
GCF(74060,74079) = 1
LCM(74060,74079) = ( 74060 × 74079) / 1
LCM(74060,74079) = 5486290740 / 1
LCM(74060,74079) = 5486290740
Least Common Multiple (LCM) of 74060 and 74079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74060 and 74079. First we will calculate the prime factors of 74060 and 74079.
Prime Factorization of 74060
Prime factors of 74060 are 2, 5, 7, 23. Prime factorization of 74060 in exponential form is:
74060 = 22 × 51 × 71 × 232
Prime Factorization of 74079
Prime factors of 74079 are 3, 8231. Prime factorization of 74079 in exponential form is:
74079 = 32 × 82311
Now multiplying the highest exponent prime factors to calculate the LCM of 74060 and 74079.
LCM(74060,74079) = 22 × 51 × 71 × 232 × 32 × 82311
LCM(74060,74079) = 5486290740
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