What is the Least Common Multiple of 77253 and 77271?
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 77253 and 77271 is 1989805521.
LCM(77253,77271) = 1989805521
Least Common Multiple of 77253 and 77271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77253 and 77271, than apply into the LCM equation.
GCF(77253,77271) = 3
LCM(77253,77271) = ( 77253 × 77271) / 3
LCM(77253,77271) = 5969416563 / 3
LCM(77253,77271) = 1989805521
Least Common Multiple (LCM) of 77253 and 77271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77253 and 77271. First we will calculate the prime factors of 77253 and 77271.
Prime Factorization of 77253
Prime factors of 77253 are 3, 11, 2341. Prime factorization of 77253 in exponential form is:
77253 = 31 × 111 × 23411
Prime Factorization of 77271
Prime factors of 77271 are 3, 43, 599. Prime factorization of 77271 in exponential form is:
77271 = 31 × 431 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 77253 and 77271.
LCM(77253,77271) = 31 × 111 × 23411 × 431 × 5991
LCM(77253,77271) = 1989805521
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