What is the Least Common Multiple of 4684 and 4688?
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 4688 is 5489648.
LCM(4684,4688) = 5489648
Least Common Multiple of 4684 and 4688 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 4688, than apply into the LCM equation.
GCF(4684,4688) = 4
LCM(4684,4688) = ( 4684 × 4688) / 4
LCM(4684,4688) = 21958592 / 4
LCM(4684,4688) = 5489648
Least Common Multiple (LCM) of 4684 and 4688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4684 and 4688. First we will calculate the prime factors of 4684 and 4688.
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 4688
Prime factors of 4688 are 2, 293. Prime factorization of 4688 in exponential form is:
4688 = 24 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 4684 and 4688.
LCM(4684,4688) = 24 × 11711 × 2931
LCM(4684,4688) = 5489648
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