What is the Least Common Multiple of 30748 and 30764?
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 30748 and 30764 is 236482868.
LCM(30748,30764) = 236482868
Least Common Multiple of 30748 and 30764 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30748 and 30764, than apply into the LCM equation.
GCF(30748,30764) = 4
LCM(30748,30764) = ( 30748 × 30764) / 4
LCM(30748,30764) = 945931472 / 4
LCM(30748,30764) = 236482868
Least Common Multiple (LCM) of 30748 and 30764 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30748 and 30764. First we will calculate the prime factors of 30748 and 30764.
Prime Factorization of 30748
Prime factors of 30748 are 2, 7687. Prime factorization of 30748 in exponential form is:
30748 = 22 × 76871
Prime Factorization of 30764
Prime factors of 30764 are 2, 7691. Prime factorization of 30764 in exponential form is:
30764 = 22 × 76911
Now multiplying the highest exponent prime factors to calculate the LCM of 30748 and 30764.
LCM(30748,30764) = 22 × 76871 × 76911
LCM(30748,30764) = 236482868
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