What is the Least Common Multiple of 8774 and 8778?
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 8774 and 8778 is 38509086.
LCM(8774,8778) = 38509086
Least Common Multiple of 8774 and 8778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8774 and 8778, than apply into the LCM equation.
GCF(8774,8778) = 2
LCM(8774,8778) = ( 8774 × 8778) / 2
LCM(8774,8778) = 77018172 / 2
LCM(8774,8778) = 38509086
Least Common Multiple (LCM) of 8774 and 8778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8774 and 8778. First we will calculate the prime factors of 8774 and 8778.
Prime Factorization of 8774
Prime factors of 8774 are 2, 41, 107. Prime factorization of 8774 in exponential form is:
8774 = 21 × 411 × 1071
Prime Factorization of 8778
Prime factors of 8778 are 2, 3, 7, 11, 19. Prime factorization of 8778 in exponential form is:
8778 = 21 × 31 × 71 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 8774 and 8778.
LCM(8774,8778) = 21 × 411 × 1071 × 31 × 71 × 111 × 191
LCM(8774,8778) = 38509086
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