What is the Least Common Multiple of 76926 and 76943?
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 76926 and 76943 is 5918917218.
LCM(76926,76943) = 5918917218
Least Common Multiple of 76926 and 76943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76926 and 76943, than apply into the LCM equation.
GCF(76926,76943) = 1
LCM(76926,76943) = ( 76926 × 76943) / 1
LCM(76926,76943) = 5918917218 / 1
LCM(76926,76943) = 5918917218
Least Common Multiple (LCM) of 76926 and 76943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76926 and 76943. First we will calculate the prime factors of 76926 and 76943.
Prime Factorization of 76926
Prime factors of 76926 are 2, 3, 12821. Prime factorization of 76926 in exponential form is:
76926 = 21 × 31 × 128211
Prime Factorization of 76943
Prime factors of 76943 are 76943. Prime factorization of 76943 in exponential form is:
76943 = 769431
Now multiplying the highest exponent prime factors to calculate the LCM of 76926 and 76943.
LCM(76926,76943) = 21 × 31 × 128211 × 769431
LCM(76926,76943) = 5918917218
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