What is the Least Common Multiple of 76925 and 76930?
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 76925 and 76930 is 1183568050.
LCM(76925,76930) = 1183568050
Least Common Multiple of 76925 and 76930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76925 and 76930, than apply into the LCM equation.
GCF(76925,76930) = 5
LCM(76925,76930) = ( 76925 × 76930) / 5
LCM(76925,76930) = 5917840250 / 5
LCM(76925,76930) = 1183568050
Least Common Multiple (LCM) of 76925 and 76930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76925 and 76930. First we will calculate the prime factors of 76925 and 76930.
Prime Factorization of 76925
Prime factors of 76925 are 5, 17, 181. Prime factorization of 76925 in exponential form is:
76925 = 52 × 171 × 1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 76925 and 76930.
LCM(76925,76930) = 52 × 171 × 1811 × 21 × 72 × 1571
LCM(76925,76930) = 1183568050
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