What is the Least Common Multiple of 4699 and 4718?
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 4699 and 4718 is 22169882.
LCM(4699,4718) = 22169882
Least Common Multiple of 4699 and 4718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4699 and 4718, than apply into the LCM equation.
GCF(4699,4718) = 1
LCM(4699,4718) = ( 4699 × 4718) / 1
LCM(4699,4718) = 22169882 / 1
LCM(4699,4718) = 22169882
Least Common Multiple (LCM) of 4699 and 4718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4699 and 4718. First we will calculate the prime factors of 4699 and 4718.
Prime Factorization of 4699
Prime factors of 4699 are 37, 127. Prime factorization of 4699 in exponential form is:
4699 = 371 × 1271
Prime Factorization of 4718
Prime factors of 4718 are 2, 7, 337. Prime factorization of 4718 in exponential form is:
4718 = 21 × 71 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 4699 and 4718.
LCM(4699,4718) = 371 × 1271 × 21 × 71 × 3371
LCM(4699,4718) = 22169882
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