What is the Least Common Multiple of 76918 and 76936?
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 76918 and 76936 is 2958881624.
LCM(76918,76936) = 2958881624
Least Common Multiple of 76918 and 76936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76918 and 76936, than apply into the LCM equation.
GCF(76918,76936) = 2
LCM(76918,76936) = ( 76918 × 76936) / 2
LCM(76918,76936) = 5917763248 / 2
LCM(76918,76936) = 2958881624
Least Common Multiple (LCM) of 76918 and 76936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76918 and 76936. First we will calculate the prime factors of 76918 and 76936.
Prime Factorization of 76918
Prime factors of 76918 are 2, 38459. Prime factorization of 76918 in exponential form is:
76918 = 21 × 384591
Prime Factorization of 76936
Prime factors of 76936 are 2, 59, 163. Prime factorization of 76936 in exponential form is:
76936 = 23 × 591 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 76918 and 76936.
LCM(76918,76936) = 23 × 384591 × 591 × 1631
LCM(76918,76936) = 2958881624
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