What is the Least Common Multiple of 62027 and 62034?
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 62027 and 62034 is 549683274.
LCM(62027,62034) = 549683274
Least Common Multiple of 62027 and 62034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62027 and 62034, than apply into the LCM equation.
GCF(62027,62034) = 7
LCM(62027,62034) = ( 62027 × 62034) / 7
LCM(62027,62034) = 3847782918 / 7
LCM(62027,62034) = 549683274
Least Common Multiple (LCM) of 62027 and 62034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62027 and 62034. First we will calculate the prime factors of 62027 and 62034.
Prime Factorization of 62027
Prime factors of 62027 are 7, 8861. Prime factorization of 62027 in exponential form is:
62027 = 71 × 88611
Prime Factorization of 62034
Prime factors of 62034 are 2, 3, 7, 211. Prime factorization of 62034 in exponential form is:
62034 = 21 × 31 × 72 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 62027 and 62034.
LCM(62027,62034) = 72 × 88611 × 21 × 31 × 2111
LCM(62027,62034) = 549683274
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