What is the Least Common Multiple of 77257 and 77274?
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 77257 and 77274 is 5969957418.
LCM(77257,77274) = 5969957418
Least Common Multiple of 77257 and 77274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77257 and 77274, than apply into the LCM equation.
GCF(77257,77274) = 1
LCM(77257,77274) = ( 77257 × 77274) / 1
LCM(77257,77274) = 5969957418 / 1
LCM(77257,77274) = 5969957418
Least Common Multiple (LCM) of 77257 and 77274 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77257 and 77274. First we will calculate the prime factors of 77257 and 77274.
Prime Factorization of 77257
Prime factors of 77257 are 23, 3359. Prime factorization of 77257 in exponential form is:
77257 = 231 × 33591
Prime Factorization of 77274
Prime factors of 77274 are 2, 3, 53. Prime factorization of 77274 in exponential form is:
77274 = 21 × 36 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 77257 and 77274.
LCM(77257,77274) = 231 × 33591 × 21 × 36 × 531
LCM(77257,77274) = 5969957418
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