What is the Least Common Multiple of 77957 and 77977?
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 77957 and 77977 is 6078852989.
LCM(77957,77977) = 6078852989
Least Common Multiple of 77957 and 77977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77957 and 77977, than apply into the LCM equation.
GCF(77957,77977) = 1
LCM(77957,77977) = ( 77957 × 77977) / 1
LCM(77957,77977) = 6078852989 / 1
LCM(77957,77977) = 6078852989
Least Common Multiple (LCM) of 77957 and 77977 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77957 and 77977. First we will calculate the prime factors of 77957 and 77977.
Prime Factorization of 77957
Prime factors of 77957 are 11, 19, 373. Prime factorization of 77957 in exponential form is:
77957 = 111 × 191 × 3731
Prime Factorization of 77977
Prime factors of 77977 are 77977. Prime factorization of 77977 in exponential form is:
77977 = 779771
Now multiplying the highest exponent prime factors to calculate the LCM of 77957 and 77977.
LCM(77957,77977) = 111 × 191 × 3731 × 779771
LCM(77957,77977) = 6078852989
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