What is the Least Common Multiple of 62179 and 62188?
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 62179 and 62188 is 3866787652.
LCM(62179,62188) = 3866787652
Least Common Multiple of 62179 and 62188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62179 and 62188, than apply into the LCM equation.
GCF(62179,62188) = 1
LCM(62179,62188) = ( 62179 × 62188) / 1
LCM(62179,62188) = 3866787652 / 1
LCM(62179,62188) = 3866787652
Least Common Multiple (LCM) of 62179 and 62188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62179 and 62188. First we will calculate the prime factors of 62179 and 62188.
Prime Factorization of 62179
Prime factors of 62179 are 13, 4783. Prime factorization of 62179 in exponential form is:
62179 = 131 × 47831
Prime Factorization of 62188
Prime factors of 62188 are 2, 7, 2221. Prime factorization of 62188 in exponential form is:
62188 = 22 × 71 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 62179 and 62188.
LCM(62179,62188) = 131 × 47831 × 22 × 71 × 22211
LCM(62179,62188) = 3866787652
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