What is the Least Common Multiple of 77060 and 77080?
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 77060 and 77080 is 296989240.
LCM(77060,77080) = 296989240
Least Common Multiple of 77060 and 77080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77060 and 77080, than apply into the LCM equation.
GCF(77060,77080) = 20
LCM(77060,77080) = ( 77060 × 77080) / 20
LCM(77060,77080) = 5939784800 / 20
LCM(77060,77080) = 296989240
Least Common Multiple (LCM) of 77060 and 77080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77060 and 77080. First we will calculate the prime factors of 77060 and 77080.
Prime Factorization of 77060
Prime factors of 77060 are 2, 5, 3853. Prime factorization of 77060 in exponential form is:
77060 = 22 × 51 × 38531
Prime Factorization of 77080
Prime factors of 77080 are 2, 5, 41, 47. Prime factorization of 77080 in exponential form is:
77080 = 23 × 51 × 411 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 77060 and 77080.
LCM(77060,77080) = 23 × 51 × 38531 × 411 × 471
LCM(77060,77080) = 296989240
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