What is the Least Common Multiple of 4688 and 4707?
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 4688 and 4707 is 22066416.
LCM(4688,4707) = 22066416
Least Common Multiple of 4688 and 4707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4688 and 4707, than apply into the LCM equation.
GCF(4688,4707) = 1
LCM(4688,4707) = ( 4688 × 4707) / 1
LCM(4688,4707) = 22066416 / 1
LCM(4688,4707) = 22066416
Least Common Multiple (LCM) of 4688 and 4707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4707. First we will calculate the prime factors of 4688 and 4707.
Prime Factorization of 4688
Prime factors of 4688 are 2, 293. Prime factorization of 4688 in exponential form is:
4688 = 24 × 2931
Prime Factorization of 4707
Prime factors of 4707 are 3, 523. Prime factorization of 4707 in exponential form is:
4707 = 32 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 4688 and 4707.
LCM(4688,4707) = 24 × 2931 × 32 × 5231
LCM(4688,4707) = 22066416
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