What is the Least Common Multiple of 4693 and 4701?
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 4693 and 4701 is 22061793.
LCM(4693,4701) = 22061793
Least Common Multiple of 4693 and 4701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4693 and 4701, than apply into the LCM equation.
GCF(4693,4701) = 1
LCM(4693,4701) = ( 4693 × 4701) / 1
LCM(4693,4701) = 22061793 / 1
LCM(4693,4701) = 22061793
Least Common Multiple (LCM) of 4693 and 4701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4693 and 4701. First we will calculate the prime factors of 4693 and 4701.
Prime Factorization of 4693
Prime factors of 4693 are 13, 19. Prime factorization of 4693 in exponential form is:
4693 = 131 × 192
Prime Factorization of 4701
Prime factors of 4701 are 3, 1567. Prime factorization of 4701 in exponential form is:
4701 = 31 × 15671
Now multiplying the highest exponent prime factors to calculate the LCM of 4693 and 4701.
LCM(4693,4701) = 131 × 192 × 31 × 15671
LCM(4693,4701) = 22061793
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