What is the Least Common Multiple of 62022 and 62029?
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 62022 and 62029 is 3847162638.
LCM(62022,62029) = 3847162638
Least Common Multiple of 62022 and 62029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62022 and 62029, than apply into the LCM equation.
GCF(62022,62029) = 1
LCM(62022,62029) = ( 62022 × 62029) / 1
LCM(62022,62029) = 3847162638 / 1
LCM(62022,62029) = 3847162638
Least Common Multiple (LCM) of 62022 and 62029 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62022 and 62029. First we will calculate the prime factors of 62022 and 62029.
Prime Factorization of 62022
Prime factors of 62022 are 2, 3, 10337. Prime factorization of 62022 in exponential form is:
62022 = 21 × 31 × 103371
Prime Factorization of 62029
Prime factors of 62029 are 11, 5639. Prime factorization of 62029 in exponential form is:
62029 = 111 × 56391
Now multiplying the highest exponent prime factors to calculate the LCM of 62022 and 62029.
LCM(62022,62029) = 21 × 31 × 103371 × 111 × 56391
LCM(62022,62029) = 3847162638
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