What is the Least Common Multiple of 4677 and 4696?
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 4677 and 4696 is 21963192.
LCM(4677,4696) = 21963192
Least Common Multiple of 4677 and 4696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4696, than apply into the LCM equation.
GCF(4677,4696) = 1
LCM(4677,4696) = ( 4677 × 4696) / 1
LCM(4677,4696) = 21963192 / 1
LCM(4677,4696) = 21963192
Least Common Multiple (LCM) of 4677 and 4696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4696. First we will calculate the prime factors of 4677 and 4696.
Prime Factorization of 4677
Prime factors of 4677 are 3, 1559. Prime factorization of 4677 in exponential form is:
4677 = 31 × 15591
Prime Factorization of 4696
Prime factors of 4696 are 2, 587. Prime factorization of 4696 in exponential form is:
4696 = 23 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4696.
LCM(4677,4696) = 31 × 15591 × 23 × 5871
LCM(4677,4696) = 21963192
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