What is the Least Common Multiple of 93062 and 93077?
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 93062 and 93077 is 8661931774.
LCM(93062,93077) = 8661931774
Least Common Multiple of 93062 and 93077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93062 and 93077, than apply into the LCM equation.
GCF(93062,93077) = 1
LCM(93062,93077) = ( 93062 × 93077) / 1
LCM(93062,93077) = 8661931774 / 1
LCM(93062,93077) = 8661931774
Least Common Multiple (LCM) of 93062 and 93077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93062 and 93077. First we will calculate the prime factors of 93062 and 93077.
Prime Factorization of 93062
Prime factors of 93062 are 2, 19, 31, 79. Prime factorization of 93062 in exponential form is:
93062 = 21 × 191 × 311 × 791
Prime Factorization of 93077
Prime factors of 93077 are 93077. Prime factorization of 93077 in exponential form is:
93077 = 930771
Now multiplying the highest exponent prime factors to calculate the LCM of 93062 and 93077.
LCM(93062,93077) = 21 × 191 × 311 × 791 × 930771
LCM(93062,93077) = 8661931774
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