What is the Least Common Multiple of 76814 and 76820?
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 76814 and 76820 is 2950425740.
LCM(76814,76820) = 2950425740
Least Common Multiple of 76814 and 76820 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76814 and 76820, than apply into the LCM equation.
GCF(76814,76820) = 2
LCM(76814,76820) = ( 76814 × 76820) / 2
LCM(76814,76820) = 5900851480 / 2
LCM(76814,76820) = 2950425740
Least Common Multiple (LCM) of 76814 and 76820 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76814 and 76820. First we will calculate the prime factors of 76814 and 76820.
Prime Factorization of 76814
Prime factors of 76814 are 2, 193, 199. Prime factorization of 76814 in exponential form is:
76814 = 21 × 1931 × 1991
Prime Factorization of 76820
Prime factors of 76820 are 2, 5, 23, 167. Prime factorization of 76820 in exponential form is:
76820 = 22 × 51 × 231 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 76814 and 76820.
LCM(76814,76820) = 22 × 1931 × 1991 × 51 × 231 × 1671
LCM(76814,76820) = 2950425740
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