What is the Least Common Multiple of 4757 and 4775?
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 4757 and 4775 is 22714675.
LCM(4757,4775) = 22714675
Least Common Multiple of 4757 and 4775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4757 and 4775, than apply into the LCM equation.
GCF(4757,4775) = 1
LCM(4757,4775) = ( 4757 × 4775) / 1
LCM(4757,4775) = 22714675 / 1
LCM(4757,4775) = 22714675
Least Common Multiple (LCM) of 4757 and 4775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4757 and 4775. First we will calculate the prime factors of 4757 and 4775.
Prime Factorization of 4757
Prime factors of 4757 are 67, 71. Prime factorization of 4757 in exponential form is:
4757 = 671 × 711
Prime Factorization of 4775
Prime factors of 4775 are 5, 191. Prime factorization of 4775 in exponential form is:
4775 = 52 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 4757 and 4775.
LCM(4757,4775) = 671 × 711 × 52 × 1911
LCM(4757,4775) = 22714675
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