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What is the Least Common Multiple of 60211 and 60220?

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 60211 and 60220 is 3625906420.

LCM(60211,60220) = 3625906420

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Least Common Multiple of 60211 and 60220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60211 and 60220, than apply into the LCM equation.

GCF(60211,60220) = 1
LCM(60211,60220) = ( 60211 × 60220) / 1
LCM(60211,60220) = 3625906420 / 1
LCM(60211,60220) = 3625906420

Least Common Multiple (LCM) of 60211 and 60220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60211 and 60220. First we will calculate the prime factors of 60211 and 60220.

Prime Factorization of 60211

Prime factors of 60211 are 19, 3169. Prime factorization of 60211 in exponential form is:

60211 = 191 × 31691

Prime Factorization of 60220

Prime factors of 60220 are 2, 5, 3011. Prime factorization of 60220 in exponential form is:

60220 = 22 × 51 × 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 60211 and 60220.

LCM(60211,60220) = 191 × 31691 × 22 × 51 × 30111
LCM(60211,60220) = 3625906420