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What is the Least Common Multiple of 2750 and 2758?

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 2750 and 2758 is 3792250.

LCM(2750,2758) = 3792250

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Least Common Multiple of 2750 and 2758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2750 and 2758, than apply into the LCM equation.

GCF(2750,2758) = 2
LCM(2750,2758) = ( 2750 × 2758) / 2
LCM(2750,2758) = 7584500 / 2
LCM(2750,2758) = 3792250

Least Common Multiple (LCM) of 2750 and 2758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2758. First we will calculate the prime factors of 2750 and 2758.

Prime Factorization of 2750

Prime factors of 2750 are 2, 5, 11. Prime factorization of 2750 in exponential form is:

2750 = 21 × 53 × 111

Prime Factorization of 2758

Prime factors of 2758 are 2, 7, 197. Prime factorization of 2758 in exponential form is:

2758 = 21 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2750 and 2758.

LCM(2750,2758) = 21 × 53 × 111 × 71 × 1971
LCM(2750,2758) = 3792250