What is the Least Common Multiple of 69077 and 69082?
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 69077 and 69082 is 4771977314.
LCM(69077,69082) = 4771977314
Least Common Multiple of 69077 and 69082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69077 and 69082, than apply into the LCM equation.
GCF(69077,69082) = 1
LCM(69077,69082) = ( 69077 × 69082) / 1
LCM(69077,69082) = 4771977314 / 1
LCM(69077,69082) = 4771977314
Least Common Multiple (LCM) of 69077 and 69082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69077 and 69082. First we will calculate the prime factors of 69077 and 69082.
Prime Factorization of 69077
Prime factors of 69077 are 67, 1031. Prime factorization of 69077 in exponential form is:
69077 = 671 × 10311
Prime Factorization of 69082
Prime factors of 69082 are 2, 13, 2657. Prime factorization of 69082 in exponential form is:
69082 = 21 × 131 × 26571
Now multiplying the highest exponent prime factors to calculate the LCM of 69077 and 69082.
LCM(69077,69082) = 671 × 10311 × 21 × 131 × 26571
LCM(69077,69082) = 4771977314
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