What is the Least Common Multiple of 782 and 788?
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 782 and 788 is 308108.
LCM(782,788) = 308108
Least Common Multiple of 782 and 788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 782 and 788, than apply into the LCM equation.
GCF(782,788) = 2
LCM(782,788) = ( 782 × 788) / 2
LCM(782,788) = 616216 / 2
LCM(782,788) = 308108
Least Common Multiple (LCM) of 782 and 788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 788. First we will calculate the prime factors of 782 and 788.
Prime Factorization of 782
Prime factors of 782 are 2, 17, 23. Prime factorization of 782 in exponential form is:
782 = 21 × 171 × 231
Prime Factorization of 788
Prime factors of 788 are 2, 197. Prime factorization of 788 in exponential form is:
788 = 22 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 788.
LCM(782,788) = 22 × 171 × 231 × 1971
LCM(782,788) = 308108
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