What is the Least Common Multiple of 76974 and 76978?
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 76974 and 76978 is 2962652286.
LCM(76974,76978) = 2962652286
Least Common Multiple of 76974 and 76978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76974 and 76978, than apply into the LCM equation.
GCF(76974,76978) = 2
LCM(76974,76978) = ( 76974 × 76978) / 2
LCM(76974,76978) = 5925304572 / 2
LCM(76974,76978) = 2962652286
Least Common Multiple (LCM) of 76974 and 76978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76974 and 76978. First we will calculate the prime factors of 76974 and 76978.
Prime Factorization of 76974
Prime factors of 76974 are 2, 3, 12829. Prime factorization of 76974 in exponential form is:
76974 = 21 × 31 × 128291
Prime Factorization of 76978
Prime factors of 76978 are 2, 11, 3499. Prime factorization of 76978 in exponential form is:
76978 = 21 × 111 × 34991
Now multiplying the highest exponent prime factors to calculate the LCM of 76974 and 76978.
LCM(76974,76978) = 21 × 31 × 128291 × 111 × 34991
LCM(76974,76978) = 2962652286
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