What is the Least Common Multiple of 62092 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 62092 and 62097 is 3855726924.
LCM(62092,62097) = 3855726924
Least Common Multiple of 62092 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 62092 and 62097, than apply into the LCM equation.
GCF(62092,62097) = 1
LCM(62092,62097) = ( 62092 × 62097) / 1
LCM(62092,62097) = 3855726924 / 1
LCM(62092,62097) = 3855726924
Least Common Multiple (LCM) of 62092 and 62097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62092 and 62097. First we will calculate the prime factors of 62092 and 62097.
Prime Factorization of 62092
Prime factors of 62092 are 2, 19, 43. Prime factorization of 62092 in exponential form is:
62092 = 22 × 192 × 431
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 62092 and 62097.
LCM(62092,62097) = 22 × 192 × 431 × 31 × 71 × 29571
LCM(62092,62097) = 3855726924
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