What is the Least Common Multiple of 4812 and 4830?
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 4812 and 4830 is 3873660.
LCM(4812,4830) = 3873660
Least Common Multiple of 4812 and 4830 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4812 and 4830, than apply into the LCM equation.
GCF(4812,4830) = 6
LCM(4812,4830) = ( 4812 × 4830) / 6
LCM(4812,4830) = 23241960 / 6
LCM(4812,4830) = 3873660
Least Common Multiple (LCM) of 4812 and 4830 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4812 and 4830. First we will calculate the prime factors of 4812 and 4830.
Prime Factorization of 4812
Prime factors of 4812 are 2, 3, 401. Prime factorization of 4812 in exponential form is:
4812 = 22 × 31 × 4011
Prime Factorization of 4830
Prime factors of 4830 are 2, 3, 5, 7, 23. Prime factorization of 4830 in exponential form is:
4830 = 21 × 31 × 51 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 4812 and 4830.
LCM(4812,4830) = 22 × 31 × 4011 × 51 × 71 × 231
LCM(4812,4830) = 3873660
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