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What is the Least Common Multiple of 24202 and 24211?

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 24202 and 24211 is 585954622.

LCM(24202,24211) = 585954622

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Least Common Multiple of 24202 and 24211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24202 and 24211, than apply into the LCM equation.

GCF(24202,24211) = 1
LCM(24202,24211) = ( 24202 × 24211) / 1
LCM(24202,24211) = 585954622 / 1
LCM(24202,24211) = 585954622

Least Common Multiple (LCM) of 24202 and 24211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24202 and 24211. First we will calculate the prime factors of 24202 and 24211.

Prime Factorization of 24202

Prime factors of 24202 are 2, 12101. Prime factorization of 24202 in exponential form is:

24202 = 21 × 121011

Prime Factorization of 24211

Prime factors of 24211 are 11, 31, 71. Prime factorization of 24211 in exponential form is:

24211 = 111 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 24202 and 24211.

LCM(24202,24211) = 21 × 121011 × 111 × 311 × 711
LCM(24202,24211) = 585954622