What is the Least Common Multiple of 76930 and 76937?
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 76930 and 76937 is 845537630.
LCM(76930,76937) = 845537630
Least Common Multiple of 76930 and 76937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76930 and 76937, than apply into the LCM equation.
GCF(76930,76937) = 7
LCM(76930,76937) = ( 76930 × 76937) / 7
LCM(76930,76937) = 5918763410 / 7
LCM(76930,76937) = 845537630
Least Common Multiple (LCM) of 76930 and 76937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76930 and 76937. First we will calculate the prime factors of 76930 and 76937.
Prime Factorization of 76930
Prime factors of 76930 are 2, 5, 7, 157. Prime factorization of 76930 in exponential form is:
76930 = 21 × 51 × 72 × 1571
Prime Factorization of 76937
Prime factors of 76937 are 7, 29, 379. Prime factorization of 76937 in exponential form is:
76937 = 71 × 291 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 76930 and 76937.
LCM(76930,76937) = 21 × 51 × 72 × 1571 × 291 × 3791
LCM(76930,76937) = 845537630
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