What is the Least Common Multiple of 76938 and 76955?
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 76938 and 76955 is 5920763790.
LCM(76938,76955) = 5920763790
Least Common Multiple of 76938 and 76955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76938 and 76955, than apply into the LCM equation.
GCF(76938,76955) = 1
LCM(76938,76955) = ( 76938 × 76955) / 1
LCM(76938,76955) = 5920763790 / 1
LCM(76938,76955) = 5920763790
Least Common Multiple (LCM) of 76938 and 76955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76938 and 76955. First we will calculate the prime factors of 76938 and 76955.
Prime Factorization of 76938
Prime factors of 76938 are 2, 3, 12823. Prime factorization of 76938 in exponential form is:
76938 = 21 × 31 × 128231
Prime Factorization of 76955
Prime factors of 76955 are 5, 15391. Prime factorization of 76955 in exponential form is:
76955 = 51 × 153911
Now multiplying the highest exponent prime factors to calculate the LCM of 76938 and 76955.
LCM(76938,76955) = 21 × 31 × 128231 × 51 × 153911
LCM(76938,76955) = 5920763790
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