What is the Least Common Multiple of 76942 and 76954?
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 76942 and 76954 is 2960497334.
LCM(76942,76954) = 2960497334
Least Common Multiple of 76942 and 76954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76942 and 76954, than apply into the LCM equation.
GCF(76942,76954) = 2
LCM(76942,76954) = ( 76942 × 76954) / 2
LCM(76942,76954) = 5920994668 / 2
LCM(76942,76954) = 2960497334
Least Common Multiple (LCM) of 76942 and 76954 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76942 and 76954. First we will calculate the prime factors of 76942 and 76954.
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
Prime Factorization of 76954
Prime factors of 76954 are 2, 109, 353. Prime factorization of 76954 in exponential form is:
76954 = 21 × 1091 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 76942 and 76954.
LCM(76942,76954) = 21 × 171 × 311 × 731 × 1091 × 3531
LCM(76942,76954) = 2960497334
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