What is the Least Common Multiple of 4931 and 4944?
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 4931 and 4944 is 24378864.
LCM(4931,4944) = 24378864
Least Common Multiple of 4931 and 4944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4931 and 4944, than apply into the LCM equation.
GCF(4931,4944) = 1
LCM(4931,4944) = ( 4931 × 4944) / 1
LCM(4931,4944) = 24378864 / 1
LCM(4931,4944) = 24378864
Least Common Multiple (LCM) of 4931 and 4944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4931 and 4944. First we will calculate the prime factors of 4931 and 4944.
Prime Factorization of 4931
Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:
4931 = 49311
Prime Factorization of 4944
Prime factors of 4944 are 2, 3, 103. Prime factorization of 4944 in exponential form is:
4944 = 24 × 31 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 4931 and 4944.
LCM(4931,4944) = 49311 × 24 × 31 × 1031
LCM(4931,4944) = 24378864
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