What is the Least Common Multiple of 4820 and 4824?
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 4824 is 5812920.
LCM(4820,4824) = 5812920
Least Common Multiple of 4820 and 4824 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 4824, than apply into the LCM equation.
GCF(4820,4824) = 4
LCM(4820,4824) = ( 4820 × 4824) / 4
LCM(4820,4824) = 23251680 / 4
LCM(4820,4824) = 5812920
Least Common Multiple (LCM) of 4820 and 4824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4820 and 4824. First we will calculate the prime factors of 4820 and 4824.
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 4824
Prime factors of 4824 are 2, 3, 67. Prime factorization of 4824 in exponential form is:
4824 = 23 × 32 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 4820 and 4824.
LCM(4820,4824) = 23 × 51 × 2411 × 32 × 671
LCM(4820,4824) = 5812920
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