What is the Least Common Multiple of 76922 and 76942?
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 76922 and 76942 is 2959266262.
LCM(76922,76942) = 2959266262
Least Common Multiple of 76922 and 76942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76922 and 76942, than apply into the LCM equation.
GCF(76922,76942) = 2
LCM(76922,76942) = ( 76922 × 76942) / 2
LCM(76922,76942) = 5918532524 / 2
LCM(76922,76942) = 2959266262
Least Common Multiple (LCM) of 76922 and 76942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76922 and 76942. First we will calculate the prime factors of 76922 and 76942.
Prime Factorization of 76922
Prime factors of 76922 are 2, 38461. Prime factorization of 76922 in exponential form is:
76922 = 21 × 384611
Prime Factorization of 76942
Prime factors of 76942 are 2, 17, 31, 73. Prime factorization of 76942 in exponential form is:
76942 = 21 × 171 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 76922 and 76942.
LCM(76922,76942) = 21 × 384611 × 171 × 311 × 731
LCM(76922,76942) = 2959266262
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