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What is the Least Common Multiple of 234 and 253?

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 234 and 253 is 59202.

LCM(234,253) = 59202

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Least Common Multiple of 234 and 253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 234 and 253, than apply into the LCM equation.

GCF(234,253) = 1
LCM(234,253) = ( 234 × 253) / 1
LCM(234,253) = 59202 / 1
LCM(234,253) = 59202

Least Common Multiple (LCM) of 234 and 253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 234 and 253. First we will calculate the prime factors of 234 and 253.

Prime Factorization of 234

Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:

234 = 21 × 32 × 131

Prime Factorization of 253

Prime factors of 253 are 11, 23. Prime factorization of 253 in exponential form is:

253 = 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 234 and 253.

LCM(234,253) = 21 × 32 × 131 × 111 × 231
LCM(234,253) = 59202

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