What is the Least Common Multiple of 77722 and 77727?
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 77722 and 77727 is 6041097894.
LCM(77722,77727) = 6041097894
Least Common Multiple of 77722 and 77727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77722 and 77727, than apply into the LCM equation.
GCF(77722,77727) = 1
LCM(77722,77727) = ( 77722 × 77727) / 1
LCM(77722,77727) = 6041097894 / 1
LCM(77722,77727) = 6041097894
Least Common Multiple (LCM) of 77722 and 77727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77722 and 77727. First we will calculate the prime factors of 77722 and 77727.
Prime Factorization of 77722
Prime factors of 77722 are 2, 38861. Prime factorization of 77722 in exponential form is:
77722 = 21 × 388611
Prime Factorization of 77727
Prime factors of 77727 are 3, 13, 1993. Prime factorization of 77727 in exponential form is:
77727 = 31 × 131 × 19931
Now multiplying the highest exponent prime factors to calculate the LCM of 77722 and 77727.
LCM(77722,77727) = 21 × 388611 × 31 × 131 × 19931
LCM(77722,77727) = 6041097894
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