What is the Least Common Multiple of 4753 and 4763?
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 4753 and 4763 is 22638539.
LCM(4753,4763) = 22638539
Least Common Multiple of 4753 and 4763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4753 and 4763, than apply into the LCM equation.
GCF(4753,4763) = 1
LCM(4753,4763) = ( 4753 × 4763) / 1
LCM(4753,4763) = 22638539 / 1
LCM(4753,4763) = 22638539
Least Common Multiple (LCM) of 4753 and 4763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4753 and 4763. First we will calculate the prime factors of 4753 and 4763.
Prime Factorization of 4753
Prime factors of 4753 are 7, 97. Prime factorization of 4753 in exponential form is:
4753 = 72 × 971
Prime Factorization of 4763
Prime factors of 4763 are 11, 433. Prime factorization of 4763 in exponential form is:
4763 = 111 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 4753 and 4763.
LCM(4753,4763) = 72 × 971 × 111 × 4331
LCM(4753,4763) = 22638539
Related Least Common Multiples of 4753
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