What is the Least Common Multiple of 76918 and 76938?
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 76938 is 2958958542.
LCM(76918,76938) = 2958958542
Least Common Multiple of 76918 and 76938 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 76938, than apply into the LCM equation.
GCF(76918,76938) = 2
LCM(76918,76938) = ( 76918 × 76938) / 2
LCM(76918,76938) = 5917917084 / 2
LCM(76918,76938) = 2958958542
Least Common Multiple (LCM) of 76918 and 76938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76918 and 76938. First we will calculate the prime factors of 76918 and 76938.
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 76938
Prime factors of 76938 are 2, 3, 12823. Prime factorization of 76938 in exponential form is:
76938 = 21 × 31 × 128231
Now multiplying the highest exponent prime factors to calculate the LCM of 76918 and 76938.
LCM(76918,76938) = 21 × 384591 × 31 × 128231
LCM(76918,76938) = 2958958542
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