What is the Least Common Multiple of 38076 and 38082?
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 38076 and 38082 is 241668372.
LCM(38076,38082) = 241668372
Least Common Multiple of 38076 and 38082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38076 and 38082, than apply into the LCM equation.
GCF(38076,38082) = 6
LCM(38076,38082) = ( 38076 × 38082) / 6
LCM(38076,38082) = 1450010232 / 6
LCM(38076,38082) = 241668372
Least Common Multiple (LCM) of 38076 and 38082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38076 and 38082. First we will calculate the prime factors of 38076 and 38082.
Prime Factorization of 38076
Prime factors of 38076 are 2, 3, 19, 167. Prime factorization of 38076 in exponential form is:
38076 = 22 × 31 × 191 × 1671
Prime Factorization of 38082
Prime factors of 38082 are 2, 3, 11, 577. Prime factorization of 38082 in exponential form is:
38082 = 21 × 31 × 111 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 38076 and 38082.
LCM(38076,38082) = 22 × 31 × 191 × 1671 × 111 × 5771
LCM(38076,38082) = 241668372
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