What is the Least Common Multiple of 4684 and 4695?
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 4684 and 4695 is 21991380.
LCM(4684,4695) = 21991380
Least Common Multiple of 4684 and 4695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4684 and 4695, than apply into the LCM equation.
GCF(4684,4695) = 1
LCM(4684,4695) = ( 4684 × 4695) / 1
LCM(4684,4695) = 21991380 / 1
LCM(4684,4695) = 21991380
Least Common Multiple (LCM) of 4684 and 4695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4684 and 4695. First we will calculate the prime factors of 4684 and 4695.
Prime Factorization of 4684
Prime factors of 4684 are 2, 1171. Prime factorization of 4684 in exponential form is:
4684 = 22 × 11711
Prime Factorization of 4695
Prime factors of 4695 are 3, 5, 313. Prime factorization of 4695 in exponential form is:
4695 = 31 × 51 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 4684 and 4695.
LCM(4684,4695) = 22 × 11711 × 31 × 51 × 3131
LCM(4684,4695) = 21991380
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