What is the Least Common Multiple of 77026 and 77034?
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 77026 and 77034 is 2966810442.
LCM(77026,77034) = 2966810442
Least Common Multiple of 77026 and 77034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77026 and 77034, than apply into the LCM equation.
GCF(77026,77034) = 2
LCM(77026,77034) = ( 77026 × 77034) / 2
LCM(77026,77034) = 5933620884 / 2
LCM(77026,77034) = 2966810442
Least Common Multiple (LCM) of 77026 and 77034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77026 and 77034. First we will calculate the prime factors of 77026 and 77034.
Prime Factorization of 77026
Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:
77026 = 21 × 191 × 20271
Prime Factorization of 77034
Prime factors of 77034 are 2, 3, 37, 347. Prime factorization of 77034 in exponential form is:
77034 = 21 × 31 × 371 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 77026 and 77034.
LCM(77026,77034) = 21 × 191 × 20271 × 31 × 371 × 3471
LCM(77026,77034) = 2966810442
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