What is the Least Common Multiple of 77951 and 77957?
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 77951 and 77957 is 6076826107.
LCM(77951,77957) = 6076826107
Least Common Multiple of 77951 and 77957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77951 and 77957, than apply into the LCM equation.
GCF(77951,77957) = 1
LCM(77951,77957) = ( 77951 × 77957) / 1
LCM(77951,77957) = 6076826107 / 1
LCM(77951,77957) = 6076826107
Least Common Multiple (LCM) of 77951 and 77957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77951 and 77957. First we will calculate the prime factors of 77951 and 77957.
Prime Factorization of 77951
Prime factors of 77951 are 77951. Prime factorization of 77951 in exponential form is:
77951 = 779511
Prime Factorization of 77957
Prime factors of 77957 are 11, 19, 373. Prime factorization of 77957 in exponential form is:
77957 = 111 × 191 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 77951 and 77957.
LCM(77951,77957) = 779511 × 111 × 191 × 3731
LCM(77951,77957) = 6076826107
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