What is the Least Common Multiple of 61018 and 61037?
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 61018 and 61037 is 3724355666.
LCM(61018,61037) = 3724355666
Least Common Multiple of 61018 and 61037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61018 and 61037, than apply into the LCM equation.
GCF(61018,61037) = 1
LCM(61018,61037) = ( 61018 × 61037) / 1
LCM(61018,61037) = 3724355666 / 1
LCM(61018,61037) = 3724355666
Least Common Multiple (LCM) of 61018 and 61037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61018 and 61037. First we will calculate the prime factors of 61018 and 61037.
Prime Factorization of 61018
Prime factors of 61018 are 2, 30509. Prime factorization of 61018 in exponential form is:
61018 = 21 × 305091
Prime Factorization of 61037
Prime factors of 61037 are 67, 911. Prime factorization of 61037 in exponential form is:
61037 = 671 × 9111
Now multiplying the highest exponent prime factors to calculate the LCM of 61018 and 61037.
LCM(61018,61037) = 21 × 305091 × 671 × 9111
LCM(61018,61037) = 3724355666
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