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What is the Least Common Multiple of 62167 and 62184?

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 62167 and 62184 is 3865792728.

LCM(62167,62184) = 3865792728

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Least Common Multiple of 62167 and 62184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62167 and 62184, than apply into the LCM equation.

GCF(62167,62184) = 1
LCM(62167,62184) = ( 62167 × 62184) / 1
LCM(62167,62184) = 3865792728 / 1
LCM(62167,62184) = 3865792728

Least Common Multiple (LCM) of 62167 and 62184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62167 and 62184. First we will calculate the prime factors of 62167 and 62184.

Prime Factorization of 62167

Prime factors of 62167 are 7, 83, 107. Prime factorization of 62167 in exponential form is:

62167 = 71 × 831 × 1071

Prime Factorization of 62184

Prime factors of 62184 are 2, 3, 2591. Prime factorization of 62184 in exponential form is:

62184 = 23 × 31 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 62167 and 62184.

LCM(62167,62184) = 71 × 831 × 1071 × 23 × 31 × 25911
LCM(62167,62184) = 3865792728