What is the Least Common Multiple of 62188 and 62206?
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 62188 and 62206 is 1934233364.
LCM(62188,62206) = 1934233364
Least Common Multiple of 62188 and 62206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62188 and 62206, than apply into the LCM equation.
GCF(62188,62206) = 2
LCM(62188,62206) = ( 62188 × 62206) / 2
LCM(62188,62206) = 3868466728 / 2
LCM(62188,62206) = 1934233364
Least Common Multiple (LCM) of 62188 and 62206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62188 and 62206. First we will calculate the prime factors of 62188 and 62206.
Prime Factorization of 62188
Prime factors of 62188 are 2, 7, 2221. Prime factorization of 62188 in exponential form is:
62188 = 22 × 71 × 22211
Prime Factorization of 62206
Prime factors of 62206 are 2, 19, 1637. Prime factorization of 62206 in exponential form is:
62206 = 21 × 191 × 16371
Now multiplying the highest exponent prime factors to calculate the LCM of 62188 and 62206.
LCM(62188,62206) = 22 × 71 × 22211 × 191 × 16371
LCM(62188,62206) = 1934233364
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