What is the Least Common Multiple of 77020 and 77036?
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 77020 and 77036 is 1483328180.
LCM(77020,77036) = 1483328180
Least Common Multiple of 77020 and 77036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77020 and 77036, than apply into the LCM equation.
GCF(77020,77036) = 4
LCM(77020,77036) = ( 77020 × 77036) / 4
LCM(77020,77036) = 5933312720 / 4
LCM(77020,77036) = 1483328180
Least Common Multiple (LCM) of 77020 and 77036 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77020 and 77036. First we will calculate the prime factors of 77020 and 77036.
Prime Factorization of 77020
Prime factors of 77020 are 2, 5, 3851. Prime factorization of 77020 in exponential form is:
77020 = 22 × 51 × 38511
Prime Factorization of 77036
Prime factors of 77036 are 2, 19259. Prime factorization of 77036 in exponential form is:
77036 = 22 × 192591
Now multiplying the highest exponent prime factors to calculate the LCM of 77020 and 77036.
LCM(77020,77036) = 22 × 51 × 38511 × 192591
LCM(77020,77036) = 1483328180
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