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What is the Least Common Multiple of 62159 and 62170?

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 62159 and 62170 is 3864425030.

LCM(62159,62170) = 3864425030

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Least Common Multiple of 62159 and 62170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62159 and 62170, than apply into the LCM equation.

GCF(62159,62170) = 1
LCM(62159,62170) = ( 62159 × 62170) / 1
LCM(62159,62170) = 3864425030 / 1
LCM(62159,62170) = 3864425030

Least Common Multiple (LCM) of 62159 and 62170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62159 and 62170. First we will calculate the prime factors of 62159 and 62170.

Prime Factorization of 62159

Prime factors of 62159 are 61, 1019. Prime factorization of 62159 in exponential form is:

62159 = 611 × 10191

Prime Factorization of 62170

Prime factors of 62170 are 2, 5, 6217. Prime factorization of 62170 in exponential form is:

62170 = 21 × 51 × 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 62159 and 62170.

LCM(62159,62170) = 611 × 10191 × 21 × 51 × 62171
LCM(62159,62170) = 3864425030