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What is the Least Common Multiple of 26615 and 26630?

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 26615 and 26630 is 141751490.

LCM(26615,26630) = 141751490

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Least Common Multiple of 26615 and 26630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26615 and 26630, than apply into the LCM equation.

GCF(26615,26630) = 5
LCM(26615,26630) = ( 26615 × 26630) / 5
LCM(26615,26630) = 708757450 / 5
LCM(26615,26630) = 141751490

Least Common Multiple (LCM) of 26615 and 26630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26615 and 26630. First we will calculate the prime factors of 26615 and 26630.

Prime Factorization of 26615

Prime factors of 26615 are 5, 5323. Prime factorization of 26615 in exponential form is:

26615 = 51 × 53231

Prime Factorization of 26630

Prime factors of 26630 are 2, 5, 2663. Prime factorization of 26630 in exponential form is:

26630 = 21 × 51 × 26631

Now multiplying the highest exponent prime factors to calculate the LCM of 26615 and 26630.

LCM(26615,26630) = 51 × 53231 × 21 × 26631
LCM(26615,26630) = 141751490