What is the Least Common Multiple of 4687 and 4699?
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 4687 and 4699 is 22024213.
LCM(4687,4699) = 22024213
Least Common Multiple of 4687 and 4699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4687 and 4699, than apply into the LCM equation.
GCF(4687,4699) = 1
LCM(4687,4699) = ( 4687 × 4699) / 1
LCM(4687,4699) = 22024213 / 1
LCM(4687,4699) = 22024213
Least Common Multiple (LCM) of 4687 and 4699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4687 and 4699. First we will calculate the prime factors of 4687 and 4699.
Prime Factorization of 4687
Prime factors of 4687 are 43, 109. Prime factorization of 4687 in exponential form is:
4687 = 431 × 1091
Prime Factorization of 4699
Prime factors of 4699 are 37, 127. Prime factorization of 4699 in exponential form is:
4699 = 371 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 4687 and 4699.
LCM(4687,4699) = 431 × 1091 × 371 × 1271
LCM(4687,4699) = 22024213
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