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What is the Least Common Multiple of 2650 and 2670?

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 2650 and 2670 is 707550.

LCM(2650,2670) = 707550

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Least Common Multiple of 2650 and 2670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2650 and 2670, than apply into the LCM equation.

GCF(2650,2670) = 10
LCM(2650,2670) = ( 2650 × 2670) / 10
LCM(2650,2670) = 7075500 / 10
LCM(2650,2670) = 707550

Least Common Multiple (LCM) of 2650 and 2670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2650 and 2670. First we will calculate the prime factors of 2650 and 2670.

Prime Factorization of 2650

Prime factors of 2650 are 2, 5, 53. Prime factorization of 2650 in exponential form is:

2650 = 21 × 52 × 531

Prime Factorization of 2670

Prime factors of 2670 are 2, 3, 5, 89. Prime factorization of 2670 in exponential form is:

2670 = 21 × 31 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 2650 and 2670.

LCM(2650,2670) = 21 × 52 × 531 × 31 × 891
LCM(2650,2670) = 707550