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What is the Least Common Multiple of 60149 and 60159?

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 60149 and 60159 is 3618503691.

LCM(60149,60159) = 3618503691

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Least Common Multiple of 60149 and 60159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60149 and 60159, than apply into the LCM equation.

GCF(60149,60159) = 1
LCM(60149,60159) = ( 60149 × 60159) / 1
LCM(60149,60159) = 3618503691 / 1
LCM(60149,60159) = 3618503691

Least Common Multiple (LCM) of 60149 and 60159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60149 and 60159. First we will calculate the prime factors of 60149 and 60159.

Prime Factorization of 60149

Prime factors of 60149 are 60149. Prime factorization of 60149 in exponential form is:

60149 = 601491

Prime Factorization of 60159

Prime factors of 60159 are 3, 11, 1823. Prime factorization of 60159 in exponential form is:

60159 = 31 × 111 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 60149 and 60159.

LCM(60149,60159) = 601491 × 31 × 111 × 18231
LCM(60149,60159) = 3618503691