What is the Least Common Multiple of 23068 and 23087?
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 23068 and 23087 is 532570916.
LCM(23068,23087) = 532570916
Least Common Multiple of 23068 and 23087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23068 and 23087, than apply into the LCM equation.
GCF(23068,23087) = 1
LCM(23068,23087) = ( 23068 × 23087) / 1
LCM(23068,23087) = 532570916 / 1
LCM(23068,23087) = 532570916
Least Common Multiple (LCM) of 23068 and 23087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23068 and 23087. First we will calculate the prime factors of 23068 and 23087.
Prime Factorization of 23068
Prime factors of 23068 are 2, 73, 79. Prime factorization of 23068 in exponential form is:
23068 = 22 × 731 × 791
Prime Factorization of 23087
Prime factors of 23087 are 23087. Prime factorization of 23087 in exponential form is:
23087 = 230871
Now multiplying the highest exponent prime factors to calculate the LCM of 23068 and 23087.
LCM(23068,23087) = 22 × 731 × 791 × 230871
LCM(23068,23087) = 532570916
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