What is the Least Common Multiple of 77036 and 77040?
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 77036 and 77040 is 1483713360.
LCM(77036,77040) = 1483713360
Least Common Multiple of 77036 and 77040 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77036 and 77040, than apply into the LCM equation.
GCF(77036,77040) = 4
LCM(77036,77040) = ( 77036 × 77040) / 4
LCM(77036,77040) = 5934853440 / 4
LCM(77036,77040) = 1483713360
Least Common Multiple (LCM) of 77036 and 77040 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77036 and 77040. First we will calculate the prime factors of 77036 and 77040.
Prime Factorization of 77036
Prime factors of 77036 are 2, 19259. Prime factorization of 77036 in exponential form is:
77036 = 22 × 192591
Prime Factorization of 77040
Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:
77040 = 24 × 32 × 51 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 77036 and 77040.
LCM(77036,77040) = 24 × 192591 × 32 × 51 × 1071
LCM(77036,77040) = 1483713360
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