What is the Least Common Multiple of 62040 and 62051?
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 62040 and 62051 is 349967640.
LCM(62040,62051) = 349967640
Least Common Multiple of 62040 and 62051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62040 and 62051, than apply into the LCM equation.
GCF(62040,62051) = 11
LCM(62040,62051) = ( 62040 × 62051) / 11
LCM(62040,62051) = 3849644040 / 11
LCM(62040,62051) = 349967640
Least Common Multiple (LCM) of 62040 and 62051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62040 and 62051. First we will calculate the prime factors of 62040 and 62051.
Prime Factorization of 62040
Prime factors of 62040 are 2, 3, 5, 11, 47. Prime factorization of 62040 in exponential form is:
62040 = 23 × 31 × 51 × 111 × 471
Prime Factorization of 62051
Prime factors of 62051 are 11, 5641. Prime factorization of 62051 in exponential form is:
62051 = 111 × 56411
Now multiplying the highest exponent prime factors to calculate the LCM of 62040 and 62051.
LCM(62040,62051) = 23 × 31 × 51 × 111 × 471 × 56411
LCM(62040,62051) = 349967640
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