What is the Least Common Multiple of 4707 and 4727?
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 4707 and 4727 is 22249989.
LCM(4707,4727) = 22249989
Least Common Multiple of 4707 and 4727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4707 and 4727, than apply into the LCM equation.
GCF(4707,4727) = 1
LCM(4707,4727) = ( 4707 × 4727) / 1
LCM(4707,4727) = 22249989 / 1
LCM(4707,4727) = 22249989
Least Common Multiple (LCM) of 4707 and 4727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4727. First we will calculate the prime factors of 4707 and 4727.
Prime Factorization of 4707
Prime factors of 4707 are 3, 523. Prime factorization of 4707 in exponential form is:
4707 = 32 × 5231
Prime Factorization of 4727
Prime factors of 4727 are 29, 163. Prime factorization of 4727 in exponential form is:
4727 = 291 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4727.
LCM(4707,4727) = 32 × 5231 × 291 × 1631
LCM(4707,4727) = 22249989
Related Least Common Multiples of 4707
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Related Least Common Multiples of 4727
- LCM of 4727 and 4731
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