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What is the Least Common Multiple of 26239 and 26250?

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 26239 and 26250 is 688773750.

LCM(26239,26250) = 688773750

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Least Common Multiple of 26239 and 26250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26239 and 26250, than apply into the LCM equation.

GCF(26239,26250) = 1
LCM(26239,26250) = ( 26239 × 26250) / 1
LCM(26239,26250) = 688773750 / 1
LCM(26239,26250) = 688773750

Least Common Multiple (LCM) of 26239 and 26250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26239 and 26250. First we will calculate the prime factors of 26239 and 26250.

Prime Factorization of 26239

Prime factors of 26239 are 19, 1381. Prime factorization of 26239 in exponential form is:

26239 = 191 × 13811

Prime Factorization of 26250

Prime factors of 26250 are 2, 3, 5, 7. Prime factorization of 26250 in exponential form is:

26250 = 21 × 31 × 54 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 26239 and 26250.

LCM(26239,26250) = 191 × 13811 × 21 × 31 × 54 × 71
LCM(26239,26250) = 688773750