What is the Least Common Multiple of 77072 and 77081?
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 77072 and 77081 is 5940786832.
LCM(77072,77081) = 5940786832
Least Common Multiple of 77072 and 77081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77072 and 77081, than apply into the LCM equation.
GCF(77072,77081) = 1
LCM(77072,77081) = ( 77072 × 77081) / 1
LCM(77072,77081) = 5940786832 / 1
LCM(77072,77081) = 5940786832
Least Common Multiple (LCM) of 77072 and 77081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77072 and 77081. First we will calculate the prime factors of 77072 and 77081.
Prime Factorization of 77072
Prime factors of 77072 are 2, 4817. Prime factorization of 77072 in exponential form is:
77072 = 24 × 48171
Prime Factorization of 77081
Prime factors of 77081 are 77081. Prime factorization of 77081 in exponential form is:
77081 = 770811
Now multiplying the highest exponent prime factors to calculate the LCM of 77072 and 77081.
LCM(77072,77081) = 24 × 48171 × 770811
LCM(77072,77081) = 5940786832
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