What is the Least Common Multiple of 77787 and 77801?
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 77787 and 77801 is 6051906387.
LCM(77787,77801) = 6051906387
Least Common Multiple of 77787 and 77801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77787 and 77801, than apply into the LCM equation.
GCF(77787,77801) = 1
LCM(77787,77801) = ( 77787 × 77801) / 1
LCM(77787,77801) = 6051906387 / 1
LCM(77787,77801) = 6051906387
Least Common Multiple (LCM) of 77787 and 77801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77787 and 77801. First we will calculate the prime factors of 77787 and 77801.
Prime Factorization of 77787
Prime factors of 77787 are 3, 43, 67. Prime factorization of 77787 in exponential form is:
77787 = 33 × 431 × 671
Prime Factorization of 77801
Prime factors of 77801 are 77801. Prime factorization of 77801 in exponential form is:
77801 = 778011
Now multiplying the highest exponent prime factors to calculate the LCM of 77787 and 77801.
LCM(77787,77801) = 33 × 431 × 671 × 778011
LCM(77787,77801) = 6051906387
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