What is the Least Common Multiple of 77080 and 77085?
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 77080 and 77085 is 1188342360.
LCM(77080,77085) = 1188342360
Least Common Multiple of 77080 and 77085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77080 and 77085, than apply into the LCM equation.
GCF(77080,77085) = 5
LCM(77080,77085) = ( 77080 × 77085) / 5
LCM(77080,77085) = 5941711800 / 5
LCM(77080,77085) = 1188342360
Least Common Multiple (LCM) of 77080 and 77085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77080 and 77085. First we will calculate the prime factors of 77080 and 77085.
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
Prime Factorization of 77085
Prime factors of 77085 are 3, 5, 571. Prime factorization of 77085 in exponential form is:
77085 = 33 × 51 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 77080 and 77085.
LCM(77080,77085) = 23 × 51 × 411 × 471 × 33 × 5711
LCM(77080,77085) = 1188342360
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