What is the Least Common Multiple of 77037 and 77047?
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 77037 and 77047 is 5935469739.
LCM(77037,77047) = 5935469739
Least Common Multiple of 77037 and 77047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77037 and 77047, than apply into the LCM equation.
GCF(77037,77047) = 1
LCM(77037,77047) = ( 77037 × 77047) / 1
LCM(77037,77047) = 5935469739 / 1
LCM(77037,77047) = 5935469739
Least Common Multiple (LCM) of 77037 and 77047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77037 and 77047. First we will calculate the prime factors of 77037 and 77047.
Prime Factorization of 77037
Prime factors of 77037 are 3, 25679. Prime factorization of 77037 in exponential form is:
77037 = 31 × 256791
Prime Factorization of 77047
Prime factors of 77047 are 77047. Prime factorization of 77047 in exponential form is:
77047 = 770471
Now multiplying the highest exponent prime factors to calculate the LCM of 77037 and 77047.
LCM(77037,77047) = 31 × 256791 × 770471
LCM(77037,77047) = 5935469739
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