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What is the Least Common Multiple of 60235 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 60235 and 60244 is 3628797340.

LCM(60235,60244) = 3628797340

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Least Common Multiple of 60235 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 60235 and 60244, than apply into the LCM equation.

GCF(60235,60244) = 1
LCM(60235,60244) = ( 60235 × 60244) / 1
LCM(60235,60244) = 3628797340 / 1
LCM(60235,60244) = 3628797340

Least Common Multiple (LCM) of 60235 and 60244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60235 and 60244. First we will calculate the prime factors of 60235 and 60244.

Prime Factorization of 60235

Prime factors of 60235 are 5, 7, 1721. Prime factorization of 60235 in exponential form is:

60235 = 51 × 71 × 17211

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 60235 and 60244.

LCM(60235,60244) = 51 × 71 × 17211 × 22 × 150611
LCM(60235,60244) = 3628797340