What is the Least Common Multiple of 62106 and 62111?
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 62106 and 62111 is 3857465766.
LCM(62106,62111) = 3857465766
Least Common Multiple of 62106 and 62111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62106 and 62111, than apply into the LCM equation.
GCF(62106,62111) = 1
LCM(62106,62111) = ( 62106 × 62111) / 1
LCM(62106,62111) = 3857465766 / 1
LCM(62106,62111) = 3857465766
Least Common Multiple (LCM) of 62106 and 62111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62106 and 62111. First we will calculate the prime factors of 62106 and 62111.
Prime Factorization of 62106
Prime factors of 62106 are 2, 3, 11, 941. Prime factorization of 62106 in exponential form is:
62106 = 21 × 31 × 111 × 9411
Prime Factorization of 62111
Prime factors of 62111 are 7, 19, 467. Prime factorization of 62111 in exponential form is:
62111 = 71 × 191 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 62106 and 62111.
LCM(62106,62111) = 21 × 31 × 111 × 9411 × 71 × 191 × 4671
LCM(62106,62111) = 3857465766
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