What is the Least Common Multiple of 62183 and 62193?
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 62183 and 62193 is 3867347319.
LCM(62183,62193) = 3867347319
Least Common Multiple of 62183 and 62193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62183 and 62193, than apply into the LCM equation.
GCF(62183,62193) = 1
LCM(62183,62193) = ( 62183 × 62193) / 1
LCM(62183,62193) = 3867347319 / 1
LCM(62183,62193) = 3867347319
Least Common Multiple (LCM) of 62183 and 62193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62183 and 62193. First we will calculate the prime factors of 62183 and 62193.
Prime Factorization of 62183
Prime factors of 62183 are 11, 5653. Prime factorization of 62183 in exponential form is:
62183 = 111 × 56531
Prime Factorization of 62193
Prime factors of 62193 are 3, 20731. Prime factorization of 62193 in exponential form is:
62193 = 31 × 207311
Now multiplying the highest exponent prime factors to calculate the LCM of 62183 and 62193.
LCM(62183,62193) = 111 × 56531 × 31 × 207311
LCM(62183,62193) = 3867347319
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