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What is the Least Common Multiple of 53217 and 53222?

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 53217 and 53222 is 2832315174.

LCM(53217,53222) = 2832315174

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Least Common Multiple of 53217 and 53222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53217 and 53222, than apply into the LCM equation.

GCF(53217,53222) = 1
LCM(53217,53222) = ( 53217 × 53222) / 1
LCM(53217,53222) = 2832315174 / 1
LCM(53217,53222) = 2832315174

Least Common Multiple (LCM) of 53217 and 53222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53217 and 53222. First we will calculate the prime factors of 53217 and 53222.

Prime Factorization of 53217

Prime factors of 53217 are 3, 73. Prime factorization of 53217 in exponential form is:

53217 = 36 × 731

Prime Factorization of 53222

Prime factors of 53222 are 2, 13, 23, 89. Prime factorization of 53222 in exponential form is:

53222 = 21 × 131 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 53217 and 53222.

LCM(53217,53222) = 36 × 731 × 21 × 131 × 231 × 891
LCM(53217,53222) = 2832315174