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What is the Least Common Multiple of 26250 and 26264?

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 26250 and 26264 is 49245000.

LCM(26250,26264) = 49245000

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Least Common Multiple of 26250 and 26264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26250 and 26264, than apply into the LCM equation.

GCF(26250,26264) = 14
LCM(26250,26264) = ( 26250 × 26264) / 14
LCM(26250,26264) = 689430000 / 14
LCM(26250,26264) = 49245000

Least Common Multiple (LCM) of 26250 and 26264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26250 and 26264. First we will calculate the prime factors of 26250 and 26264.

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

Prime Factorization of 26264

Prime factors of 26264 are 2, 7, 67. Prime factorization of 26264 in exponential form is:

26264 = 23 × 72 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 26250 and 26264.

LCM(26250,26264) = 23 × 31 × 54 × 72 × 671
LCM(26250,26264) = 49245000