What is the Least Common Multiple of 77033 and 77052?
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 77033 and 77052 is 5935546716.
LCM(77033,77052) = 5935546716
Least Common Multiple of 77033 and 77052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77033 and 77052, than apply into the LCM equation.
GCF(77033,77052) = 1
LCM(77033,77052) = ( 77033 × 77052) / 1
LCM(77033,77052) = 5935546716 / 1
LCM(77033,77052) = 5935546716
Least Common Multiple (LCM) of 77033 and 77052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77033 and 77052. First we will calculate the prime factors of 77033 and 77052.
Prime Factorization of 77033
Prime factors of 77033 are 11, 47, 149. Prime factorization of 77033 in exponential form is:
77033 = 111 × 471 × 1491
Prime Factorization of 77052
Prime factors of 77052 are 2, 3, 6421. Prime factorization of 77052 in exponential form is:
77052 = 22 × 31 × 64211
Now multiplying the highest exponent prime factors to calculate the LCM of 77033 and 77052.
LCM(77033,77052) = 111 × 471 × 1491 × 22 × 31 × 64211
LCM(77033,77052) = 5935546716
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