What is the Least Common Multiple of 77368 and 77373?
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 77368 and 77373 is 5986194264.
LCM(77368,77373) = 5986194264
Least Common Multiple of 77368 and 77373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77368 and 77373, than apply into the LCM equation.
GCF(77368,77373) = 1
LCM(77368,77373) = ( 77368 × 77373) / 1
LCM(77368,77373) = 5986194264 / 1
LCM(77368,77373) = 5986194264
Least Common Multiple (LCM) of 77368 and 77373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77368 and 77373. First we will calculate the prime factors of 77368 and 77373.
Prime Factorization of 77368
Prime factors of 77368 are 2, 19, 509. Prime factorization of 77368 in exponential form is:
77368 = 23 × 191 × 5091
Prime Factorization of 77373
Prime factors of 77373 are 3, 8597. Prime factorization of 77373 in exponential form is:
77373 = 32 × 85971
Now multiplying the highest exponent prime factors to calculate the LCM of 77368 and 77373.
LCM(77368,77373) = 23 × 191 × 5091 × 32 × 85971
LCM(77368,77373) = 5986194264
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