What is the Least Common Multiple of 4709 and 4724?
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 4709 and 4724 is 22245316.
LCM(4709,4724) = 22245316
Least Common Multiple of 4709 and 4724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4724, than apply into the LCM equation.
GCF(4709,4724) = 1
LCM(4709,4724) = ( 4709 × 4724) / 1
LCM(4709,4724) = 22245316 / 1
LCM(4709,4724) = 22245316
Least Common Multiple (LCM) of 4709 and 4724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4724. First we will calculate the prime factors of 4709 and 4724.
Prime Factorization of 4709
Prime factors of 4709 are 17, 277. Prime factorization of 4709 in exponential form is:
4709 = 171 × 2771
Prime Factorization of 4724
Prime factors of 4724 are 2, 1181. Prime factorization of 4724 in exponential form is:
4724 = 22 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4724.
LCM(4709,4724) = 171 × 2771 × 22 × 11811
LCM(4709,4724) = 22245316
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