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What is the Least Common Multiple of 62172 and 62177?

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 62172 and 62177 is 3865668444.

LCM(62172,62177) = 3865668444

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Least Common Multiple of 62172 and 62177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62172 and 62177, than apply into the LCM equation.

GCF(62172,62177) = 1
LCM(62172,62177) = ( 62172 × 62177) / 1
LCM(62172,62177) = 3865668444 / 1
LCM(62172,62177) = 3865668444

Least Common Multiple (LCM) of 62172 and 62177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62172 and 62177. First we will calculate the prime factors of 62172 and 62177.

Prime Factorization of 62172

Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:

62172 = 22 × 32 × 111 × 1571

Prime Factorization of 62177

Prime factors of 62177 are 97, 641. Prime factorization of 62177 in exponential form is:

62177 = 971 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 62172 and 62177.

LCM(62172,62177) = 22 × 32 × 111 × 1571 × 971 × 6411
LCM(62172,62177) = 3865668444