What is the Least Common Multiple of 62206 and 62215?
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 62206 and 62215 is 3870146290.
LCM(62206,62215) = 3870146290
Least Common Multiple of 62206 and 62215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62206 and 62215, than apply into the LCM equation.
GCF(62206,62215) = 1
LCM(62206,62215) = ( 62206 × 62215) / 1
LCM(62206,62215) = 3870146290 / 1
LCM(62206,62215) = 3870146290
Least Common Multiple (LCM) of 62206 and 62215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62206 and 62215. First we will calculate the prime factors of 62206 and 62215.
Prime Factorization of 62206
Prime factors of 62206 are 2, 19, 1637. Prime factorization of 62206 in exponential form is:
62206 = 21 × 191 × 16371
Prime Factorization of 62215
Prime factors of 62215 are 5, 23, 541. Prime factorization of 62215 in exponential form is:
62215 = 51 × 231 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 62206 and 62215.
LCM(62206,62215) = 21 × 191 × 16371 × 51 × 231 × 5411
LCM(62206,62215) = 3870146290
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