What is the Least Common Multiple of 62051 and 62061?
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 62051 and 62061 is 3850947111.
LCM(62051,62061) = 3850947111
Least Common Multiple of 62051 and 62061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62051 and 62061, than apply into the LCM equation.
GCF(62051,62061) = 1
LCM(62051,62061) = ( 62051 × 62061) / 1
LCM(62051,62061) = 3850947111 / 1
LCM(62051,62061) = 3850947111
Least Common Multiple (LCM) of 62051 and 62061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62051 and 62061. First we will calculate the prime factors of 62051 and 62061.
Prime Factorization of 62051
Prime factors of 62051 are 11, 5641. Prime factorization of 62051 in exponential form is:
62051 = 111 × 56411
Prime Factorization of 62061
Prime factors of 62061 are 3, 137, 151. Prime factorization of 62061 in exponential form is:
62061 = 31 × 1371 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 62051 and 62061.
LCM(62051,62061) = 111 × 56411 × 31 × 1371 × 1511
LCM(62051,62061) = 3850947111
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