What is the Least Common Multiple of 76942 and 76962?
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 76962 is 2960805102.
LCM(76942,76962) = 2960805102
Least Common Multiple of 76942 and 76962 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 76962, than apply into the LCM equation.
GCF(76942,76962) = 2
LCM(76942,76962) = ( 76942 × 76962) / 2
LCM(76942,76962) = 5921610204 / 2
LCM(76942,76962) = 2960805102
Least Common Multiple (LCM) of 76942 and 76962 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76942 and 76962. First we will calculate the prime factors of 76942 and 76962.
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 76962
Prime factors of 76962 are 2, 3, 101, 127. Prime factorization of 76962 in exponential form is:
76962 = 21 × 31 × 1011 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 76942 and 76962.
LCM(76942,76962) = 21 × 171 × 311 × 731 × 31 × 1011 × 1271
LCM(76942,76962) = 2960805102
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