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What is the Least Common Multiple of 60151 and 60163?

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 60151 and 60163 is 3618864613.

LCM(60151,60163) = 3618864613

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Least Common Multiple of 60151 and 60163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60151 and 60163, than apply into the LCM equation.

GCF(60151,60163) = 1
LCM(60151,60163) = ( 60151 × 60163) / 1
LCM(60151,60163) = 3618864613 / 1
LCM(60151,60163) = 3618864613

Least Common Multiple (LCM) of 60151 and 60163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60151 and 60163. First we will calculate the prime factors of 60151 and 60163.

Prime Factorization of 60151

Prime factors of 60151 are 7, 13, 661. Prime factorization of 60151 in exponential form is:

60151 = 71 × 131 × 6611

Prime Factorization of 60163

Prime factors of 60163 are 17, 3539. Prime factorization of 60163 in exponential form is:

60163 = 171 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 60151 and 60163.

LCM(60151,60163) = 71 × 131 × 6611 × 171 × 35391
LCM(60151,60163) = 3618864613