What is the Least Common Multiple of 76852 and 76863?
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 76852 and 76863 is 5907075276.
LCM(76852,76863) = 5907075276
Least Common Multiple of 76852 and 76863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76852 and 76863, than apply into the LCM equation.
GCF(76852,76863) = 1
LCM(76852,76863) = ( 76852 × 76863) / 1
LCM(76852,76863) = 5907075276 / 1
LCM(76852,76863) = 5907075276
Least Common Multiple (LCM) of 76852 and 76863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76852 and 76863. First we will calculate the prime factors of 76852 and 76863.
Prime Factorization of 76852
Prime factors of 76852 are 2, 19213. Prime factorization of 76852 in exponential form is:
76852 = 22 × 192131
Prime Factorization of 76863
Prime factors of 76863 are 3, 25621. Prime factorization of 76863 in exponential form is:
76863 = 31 × 256211
Now multiplying the highest exponent prime factors to calculate the LCM of 76852 and 76863.
LCM(76852,76863) = 22 × 192131 × 31 × 256211
LCM(76852,76863) = 5907075276
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