What is the Least Common Multiple of 77957 and 77974?
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 77974 is 6078619118.
LCM(77957,77974) = 6078619118
Least Common Multiple of 77957 and 77974 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 77974, than apply into the LCM equation.
GCF(77957,77974) = 1
LCM(77957,77974) = ( 77957 × 77974) / 1
LCM(77957,77974) = 6078619118 / 1
LCM(77957,77974) = 6078619118
Least Common Multiple (LCM) of 77957 and 77974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77957 and 77974. First we will calculate the prime factors of 77957 and 77974.
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 77974
Prime factors of 77974 are 2, 13, 2999. Prime factorization of 77974 in exponential form is:
77974 = 21 × 131 × 29991
Now multiplying the highest exponent prime factors to calculate the LCM of 77957 and 77974.
LCM(77957,77974) = 111 × 191 × 3731 × 21 × 131 × 29991
LCM(77957,77974) = 6078619118
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