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What is the Least Common Multiple of 60157 and 60170?

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 60157 and 60170 is 3619646690.

LCM(60157,60170) = 3619646690

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Least Common Multiple of 60157 and 60170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60157 and 60170, than apply into the LCM equation.

GCF(60157,60170) = 1
LCM(60157,60170) = ( 60157 × 60170) / 1
LCM(60157,60170) = 3619646690 / 1
LCM(60157,60170) = 3619646690

Least Common Multiple (LCM) of 60157 and 60170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60157 and 60170. First we will calculate the prime factors of 60157 and 60170.

Prime Factorization of 60157

Prime factors of 60157 are 43, 1399. Prime factorization of 60157 in exponential form is:

60157 = 431 × 13991

Prime Factorization of 60170

Prime factors of 60170 are 2, 5, 11, 547. Prime factorization of 60170 in exponential form is:

60170 = 21 × 51 × 111 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 60157 and 60170.

LCM(60157,60170) = 431 × 13991 × 21 × 51 × 111 × 5471
LCM(60157,60170) = 3619646690