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What is the Least Common Multiple of 30201 and 30220?

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 30201 and 30220 is 912674220.

LCM(30201,30220) = 912674220

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Least Common Multiple of 30201 and 30220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30201 and 30220, than apply into the LCM equation.

GCF(30201,30220) = 1
LCM(30201,30220) = ( 30201 × 30220) / 1
LCM(30201,30220) = 912674220 / 1
LCM(30201,30220) = 912674220

Least Common Multiple (LCM) of 30201 and 30220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30201 and 30220. First we will calculate the prime factors of 30201 and 30220.

Prime Factorization of 30201

Prime factors of 30201 are 3, 10067. Prime factorization of 30201 in exponential form is:

30201 = 31 × 100671

Prime Factorization of 30220

Prime factors of 30220 are 2, 5, 1511. Prime factorization of 30220 in exponential form is:

30220 = 22 × 51 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 30201 and 30220.

LCM(30201,30220) = 31 × 100671 × 22 × 51 × 15111
LCM(30201,30220) = 912674220