What is the Least Common Multiple of 77533 and 77551?
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 77533 and 77551 is 6012761683.
LCM(77533,77551) = 6012761683
Least Common Multiple of 77533 and 77551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77533 and 77551, than apply into the LCM equation.
GCF(77533,77551) = 1
LCM(77533,77551) = ( 77533 × 77551) / 1
LCM(77533,77551) = 6012761683 / 1
LCM(77533,77551) = 6012761683
Least Common Multiple (LCM) of 77533 and 77551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77533 and 77551. First we will calculate the prime factors of 77533 and 77551.
Prime Factorization of 77533
Prime factors of 77533 are 23, 3371. Prime factorization of 77533 in exponential form is:
77533 = 231 × 33711
Prime Factorization of 77551
Prime factors of 77551 are 77551. Prime factorization of 77551 in exponential form is:
77551 = 775511
Now multiplying the highest exponent prime factors to calculate the LCM of 77533 and 77551.
LCM(77533,77551) = 231 × 33711 × 775511
LCM(77533,77551) = 6012761683
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