What is the Least Common Multiple of 4762 and 4766?
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 4762 and 4766 is 11347846.
LCM(4762,4766) = 11347846
Least Common Multiple of 4762 and 4766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4762 and 4766, than apply into the LCM equation.
GCF(4762,4766) = 2
LCM(4762,4766) = ( 4762 × 4766) / 2
LCM(4762,4766) = 22695692 / 2
LCM(4762,4766) = 11347846
Least Common Multiple (LCM) of 4762 and 4766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4762 and 4766. First we will calculate the prime factors of 4762 and 4766.
Prime Factorization of 4762
Prime factors of 4762 are 2, 2381. Prime factorization of 4762 in exponential form is:
4762 = 21 × 23811
Prime Factorization of 4766
Prime factors of 4766 are 2, 2383. Prime factorization of 4766 in exponential form is:
4766 = 21 × 23831
Now multiplying the highest exponent prime factors to calculate the LCM of 4762 and 4766.
LCM(4762,4766) = 21 × 23811 × 23831
LCM(4762,4766) = 11347846
Related Least Common Multiples of 4762
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Related Least Common Multiples of 4766
- LCM of 4766 and 4770
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