What is the Least Common Multiple of 77018 and 77037?
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 77018 and 77037 is 5933235666.
LCM(77018,77037) = 5933235666
Least Common Multiple of 77018 and 77037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77018 and 77037, than apply into the LCM equation.
GCF(77018,77037) = 1
LCM(77018,77037) = ( 77018 × 77037) / 1
LCM(77018,77037) = 5933235666 / 1
LCM(77018,77037) = 5933235666
Least Common Multiple (LCM) of 77018 and 77037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77018 and 77037. First we will calculate the prime factors of 77018 and 77037.
Prime Factorization of 77018
Prime factors of 77018 are 2, 97, 397. Prime factorization of 77018 in exponential form is:
77018 = 21 × 971 × 3971
Prime Factorization of 77037
Prime factors of 77037 are 3, 25679. Prime factorization of 77037 in exponential form is:
77037 = 31 × 256791
Now multiplying the highest exponent prime factors to calculate the LCM of 77018 and 77037.
LCM(77018,77037) = 21 × 971 × 3971 × 31 × 256791
LCM(77018,77037) = 5933235666
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