What is the Least Common Multiple of 62077 and 62097?
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 62077 and 62097 is 3854795469.
LCM(62077,62097) = 3854795469
Least Common Multiple of 62077 and 62097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62077 and 62097, than apply into the LCM equation.
GCF(62077,62097) = 1
LCM(62077,62097) = ( 62077 × 62097) / 1
LCM(62077,62097) = 3854795469 / 1
LCM(62077,62097) = 3854795469
Least Common Multiple (LCM) of 62077 and 62097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62077 and 62097. First we will calculate the prime factors of 62077 and 62097.
Prime Factorization of 62077
Prime factors of 62077 are 23, 2699. Prime factorization of 62077 in exponential form is:
62077 = 231 × 26991
Prime Factorization of 62097
Prime factors of 62097 are 3, 7, 2957. Prime factorization of 62097 in exponential form is:
62097 = 31 × 71 × 29571
Now multiplying the highest exponent prime factors to calculate the LCM of 62077 and 62097.
LCM(62077,62097) = 231 × 26991 × 31 × 71 × 29571
LCM(62077,62097) = 3854795469
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