What is the Least Common Multiple of 4751 and 4762?
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 4751 and 4762 is 22624262.
LCM(4751,4762) = 22624262
Least Common Multiple of 4751 and 4762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4751 and 4762, than apply into the LCM equation.
GCF(4751,4762) = 1
LCM(4751,4762) = ( 4751 × 4762) / 1
LCM(4751,4762) = 22624262 / 1
LCM(4751,4762) = 22624262
Least Common Multiple (LCM) of 4751 and 4762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4751 and 4762. First we will calculate the prime factors of 4751 and 4762.
Prime Factorization of 4751
Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:
4751 = 47511
Prime Factorization of 4762
Prime factors of 4762 are 2, 2381. Prime factorization of 4762 in exponential form is:
4762 = 21 × 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 4751 and 4762.
LCM(4751,4762) = 47511 × 21 × 23811
LCM(4751,4762) = 22624262
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