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What is the Least Common Multiple of 70225 and 70233?

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 70225 and 70233 is 4932112425.

LCM(70225,70233) = 4932112425

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Least Common Multiple of 70225 and 70233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70225 and 70233, than apply into the LCM equation.

GCF(70225,70233) = 1
LCM(70225,70233) = ( 70225 × 70233) / 1
LCM(70225,70233) = 4932112425 / 1
LCM(70225,70233) = 4932112425

Least Common Multiple (LCM) of 70225 and 70233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70225 and 70233. First we will calculate the prime factors of 70225 and 70233.

Prime Factorization of 70225

Prime factors of 70225 are 5, 53. Prime factorization of 70225 in exponential form is:

70225 = 52 × 532

Prime Factorization of 70233

Prime factors of 70233 are 3, 41, 571. Prime factorization of 70233 in exponential form is:

70233 = 31 × 411 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 70225 and 70233.

LCM(70225,70233) = 52 × 532 × 31 × 411 × 5711
LCM(70225,70233) = 4932112425