What is the Least Common Multiple of 67038 and 67049?
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 67038 and 67049 is 4494830862.
LCM(67038,67049) = 4494830862
Least Common Multiple of 67038 and 67049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67038 and 67049, than apply into the LCM equation.
GCF(67038,67049) = 1
LCM(67038,67049) = ( 67038 × 67049) / 1
LCM(67038,67049) = 4494830862 / 1
LCM(67038,67049) = 4494830862
Least Common Multiple (LCM) of 67038 and 67049 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67038 and 67049. First we will calculate the prime factors of 67038 and 67049.
Prime Factorization of 67038
Prime factors of 67038 are 2, 3, 11173. Prime factorization of 67038 in exponential form is:
67038 = 21 × 31 × 111731
Prime Factorization of 67049
Prime factors of 67049 are 67049. Prime factorization of 67049 in exponential form is:
67049 = 670491
Now multiplying the highest exponent prime factors to calculate the LCM of 67038 and 67049.
LCM(67038,67049) = 21 × 31 × 111731 × 670491
LCM(67038,67049) = 4494830862
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