What is the Least Common Multiple of 76976 and 76987?
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 76976 and 76987 is 5926151312.
LCM(76976,76987) = 5926151312
Least Common Multiple of 76976 and 76987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76976 and 76987, than apply into the LCM equation.
GCF(76976,76987) = 1
LCM(76976,76987) = ( 76976 × 76987) / 1
LCM(76976,76987) = 5926151312 / 1
LCM(76976,76987) = 5926151312
Least Common Multiple (LCM) of 76976 and 76987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76976 and 76987. First we will calculate the prime factors of 76976 and 76987.
Prime Factorization of 76976
Prime factors of 76976 are 2, 17, 283. Prime factorization of 76976 in exponential form is:
76976 = 24 × 171 × 2831
Prime Factorization of 76987
Prime factors of 76987 are 167, 461. Prime factorization of 76987 in exponential form is:
76987 = 1671 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 76976 and 76987.
LCM(76976,76987) = 24 × 171 × 2831 × 1671 × 4611
LCM(76976,76987) = 5926151312
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