What is the Least Common Multiple of 76921 and 76927?
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 76921 and 76927 is 5917301767.
LCM(76921,76927) = 5917301767
Least Common Multiple of 76921 and 76927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76921 and 76927, than apply into the LCM equation.
GCF(76921,76927) = 1
LCM(76921,76927) = ( 76921 × 76927) / 1
LCM(76921,76927) = 5917301767 / 1
LCM(76921,76927) = 5917301767
Least Common Multiple (LCM) of 76921 and 76927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76921 and 76927. First we will calculate the prime factors of 76921 and 76927.
Prime Factorization of 76921
Prime factors of 76921 are 13, 61, 97. Prime factorization of 76921 in exponential form is:
76921 = 131 × 611 × 971
Prime Factorization of 76927
Prime factors of 76927 are 43, 1789. Prime factorization of 76927 in exponential form is:
76927 = 431 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 76921 and 76927.
LCM(76921,76927) = 131 × 611 × 971 × 431 × 17891
LCM(76921,76927) = 5917301767
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