What is the Least Common Multiple of 76612 and 76631?
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 76612 and 76631 is 5870854172.
LCM(76612,76631) = 5870854172
Least Common Multiple of 76612 and 76631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76612 and 76631, than apply into the LCM equation.
GCF(76612,76631) = 1
LCM(76612,76631) = ( 76612 × 76631) / 1
LCM(76612,76631) = 5870854172 / 1
LCM(76612,76631) = 5870854172
Least Common Multiple (LCM) of 76612 and 76631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76612 and 76631. First we will calculate the prime factors of 76612 and 76631.
Prime Factorization of 76612
Prime factors of 76612 are 2, 107, 179. Prime factorization of 76612 in exponential form is:
76612 = 22 × 1071 × 1791
Prime Factorization of 76631
Prime factors of 76631 are 76631. Prime factorization of 76631 in exponential form is:
76631 = 766311
Now multiplying the highest exponent prime factors to calculate the LCM of 76612 and 76631.
LCM(76612,76631) = 22 × 1071 × 1791 × 766311
LCM(76612,76631) = 5870854172
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