What is the Least Common Multiple of 76880 and 76892?
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 76880 and 76892 is 1477864240.
LCM(76880,76892) = 1477864240
Least Common Multiple of 76880 and 76892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76880 and 76892, than apply into the LCM equation.
GCF(76880,76892) = 4
LCM(76880,76892) = ( 76880 × 76892) / 4
LCM(76880,76892) = 5911456960 / 4
LCM(76880,76892) = 1477864240
Least Common Multiple (LCM) of 76880 and 76892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76880 and 76892. First we will calculate the prime factors of 76880 and 76892.
Prime Factorization of 76880
Prime factors of 76880 are 2, 5, 31. Prime factorization of 76880 in exponential form is:
76880 = 24 × 51 × 312
Prime Factorization of 76892
Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:
76892 = 22 × 471 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 76880 and 76892.
LCM(76880,76892) = 24 × 51 × 312 × 471 × 4091
LCM(76880,76892) = 1477864240
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