What is the Least Common Multiple of 4804 and 4815?
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 4804 and 4815 is 23131260.
LCM(4804,4815) = 23131260
Least Common Multiple of 4804 and 4815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4804 and 4815, than apply into the LCM equation.
GCF(4804,4815) = 1
LCM(4804,4815) = ( 4804 × 4815) / 1
LCM(4804,4815) = 23131260 / 1
LCM(4804,4815) = 23131260
Least Common Multiple (LCM) of 4804 and 4815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4804 and 4815. First we will calculate the prime factors of 4804 and 4815.
Prime Factorization of 4804
Prime factors of 4804 are 2, 1201. Prime factorization of 4804 in exponential form is:
4804 = 22 × 12011
Prime Factorization of 4815
Prime factors of 4815 are 3, 5, 107. Prime factorization of 4815 in exponential form is:
4815 = 32 × 51 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4804 and 4815.
LCM(4804,4815) = 22 × 12011 × 32 × 51 × 1071
LCM(4804,4815) = 23131260
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