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What is the Least Common Multiple of 64203 and 64220?

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 64203 and 64220 is 4123116660.

LCM(64203,64220) = 4123116660

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Least Common Multiple of 64203 and 64220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64203 and 64220, than apply into the LCM equation.

GCF(64203,64220) = 1
LCM(64203,64220) = ( 64203 × 64220) / 1
LCM(64203,64220) = 4123116660 / 1
LCM(64203,64220) = 4123116660

Least Common Multiple (LCM) of 64203 and 64220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64203 and 64220. First we will calculate the prime factors of 64203 and 64220.

Prime Factorization of 64203

Prime factors of 64203 are 3, 21401. Prime factorization of 64203 in exponential form is:

64203 = 31 × 214011

Prime Factorization of 64220

Prime factors of 64220 are 2, 5, 13, 19. Prime factorization of 64220 in exponential form is:

64220 = 22 × 51 × 132 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 64203 and 64220.

LCM(64203,64220) = 31 × 214011 × 22 × 51 × 132 × 191
LCM(64203,64220) = 4123116660