What is the Least Common Multiple of 4751 and 4761?
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 4761 is 22619511.
LCM(4751,4761) = 22619511
Least Common Multiple of 4751 and 4761 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 4761, than apply into the LCM equation.
GCF(4751,4761) = 1
LCM(4751,4761) = ( 4751 × 4761) / 1
LCM(4751,4761) = 22619511 / 1
LCM(4751,4761) = 22619511
Least Common Multiple (LCM) of 4751 and 4761 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4751 and 4761. First we will calculate the prime factors of 4751 and 4761.
Prime Factorization of 4751
Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:
4751 = 47511
Prime Factorization of 4761
Prime factors of 4761 are 3, 23. Prime factorization of 4761 in exponential form is:
4761 = 32 × 232
Now multiplying the highest exponent prime factors to calculate the LCM of 4751 and 4761.
LCM(4751,4761) = 47511 × 32 × 232
LCM(4751,4761) = 22619511
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