What is the Least Common Multiple of 4820 and 4835?
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 4820 and 4835 is 4660940.
LCM(4820,4835) = 4660940
Least Common Multiple of 4820 and 4835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4820 and 4835, than apply into the LCM equation.
GCF(4820,4835) = 5
LCM(4820,4835) = ( 4820 × 4835) / 5
LCM(4820,4835) = 23304700 / 5
LCM(4820,4835) = 4660940
Least Common Multiple (LCM) of 4820 and 4835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4820 and 4835. First we will calculate the prime factors of 4820 and 4835.
Prime Factorization of 4820
Prime factors of 4820 are 2, 5, 241. Prime factorization of 4820 in exponential form is:
4820 = 22 × 51 × 2411
Prime Factorization of 4835
Prime factors of 4835 are 5, 967. Prime factorization of 4835 in exponential form is:
4835 = 51 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 4820 and 4835.
LCM(4820,4835) = 22 × 51 × 2411 × 9671
LCM(4820,4835) = 4660940
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