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What is the Least Common Multiple of 23433 and 23437?

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 23433 and 23437 is 549199221.

LCM(23433,23437) = 549199221

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Least Common Multiple of 23433 and 23437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23433 and 23437, than apply into the LCM equation.

GCF(23433,23437) = 1
LCM(23433,23437) = ( 23433 × 23437) / 1
LCM(23433,23437) = 549199221 / 1
LCM(23433,23437) = 549199221

Least Common Multiple (LCM) of 23433 and 23437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23433 and 23437. First we will calculate the prime factors of 23433 and 23437.

Prime Factorization of 23433

Prime factors of 23433 are 3, 73, 107. Prime factorization of 23433 in exponential form is:

23433 = 31 × 731 × 1071

Prime Factorization of 23437

Prime factors of 23437 are 23, 1019. Prime factorization of 23437 in exponential form is:

23437 = 231 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 23433 and 23437.

LCM(23433,23437) = 31 × 731 × 1071 × 231 × 10191
LCM(23433,23437) = 549199221