What is the Least Common Multiple of 76944 and 76964?
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 76944 and 76964 is 1480479504.
LCM(76944,76964) = 1480479504
Least Common Multiple of 76944 and 76964 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76944 and 76964, than apply into the LCM equation.
GCF(76944,76964) = 4
LCM(76944,76964) = ( 76944 × 76964) / 4
LCM(76944,76964) = 5921918016 / 4
LCM(76944,76964) = 1480479504
Least Common Multiple (LCM) of 76944 and 76964 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76944 and 76964. First we will calculate the prime factors of 76944 and 76964.
Prime Factorization of 76944
Prime factors of 76944 are 2, 3, 7, 229. Prime factorization of 76944 in exponential form is:
76944 = 24 × 31 × 71 × 2291
Prime Factorization of 76964
Prime factors of 76964 are 2, 71, 271. Prime factorization of 76964 in exponential form is:
76964 = 22 × 711 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 76944 and 76964.
LCM(76944,76964) = 24 × 31 × 71 × 2291 × 711 × 2711
LCM(76944,76964) = 1480479504
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