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What is the Least Common Multiple of 60229 and 60244?

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 60229 and 60244 is 3628435876.

LCM(60229,60244) = 3628435876

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Least Common Multiple of 60229 and 60244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60229 and 60244, than apply into the LCM equation.

GCF(60229,60244) = 1
LCM(60229,60244) = ( 60229 × 60244) / 1
LCM(60229,60244) = 3628435876 / 1
LCM(60229,60244) = 3628435876

Least Common Multiple (LCM) of 60229 and 60244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60229 and 60244. First we will calculate the prime factors of 60229 and 60244.

Prime Factorization of 60229

Prime factors of 60229 are 13, 41, 113. Prime factorization of 60229 in exponential form is:

60229 = 131 × 411 × 1131

Prime Factorization of 60244

Prime factors of 60244 are 2, 15061. Prime factorization of 60244 in exponential form is:

60244 = 22 × 150611

Now multiplying the highest exponent prime factors to calculate the LCM of 60229 and 60244.

LCM(60229,60244) = 131 × 411 × 1131 × 22 × 150611
LCM(60229,60244) = 3628435876