What is the Least Common Multiple of 4755 and 4765?
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 4755 and 4765 is 4531515.
LCM(4755,4765) = 4531515
Least Common Multiple of 4755 and 4765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4755 and 4765, than apply into the LCM equation.
GCF(4755,4765) = 5
LCM(4755,4765) = ( 4755 × 4765) / 5
LCM(4755,4765) = 22657575 / 5
LCM(4755,4765) = 4531515
Least Common Multiple (LCM) of 4755 and 4765 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4755 and 4765. First we will calculate the prime factors of 4755 and 4765.
Prime Factorization of 4755
Prime factors of 4755 are 3, 5, 317. Prime factorization of 4755 in exponential form is:
4755 = 31 × 51 × 3171
Prime Factorization of 4765
Prime factors of 4765 are 5, 953. Prime factorization of 4765 in exponential form is:
4765 = 51 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 4755 and 4765.
LCM(4755,4765) = 31 × 51 × 3171 × 9531
LCM(4755,4765) = 4531515
Related Least Common Multiples of 4755
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Related Least Common Multiples of 4765
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