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What is the Least Common Multiple of 1495 and 1510?

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 1495 and 1510 is 451490.

LCM(1495,1510) = 451490

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Least Common Multiple of 1495 and 1510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1495 and 1510, than apply into the LCM equation.

GCF(1495,1510) = 5
LCM(1495,1510) = ( 1495 × 1510) / 5
LCM(1495,1510) = 2257450 / 5
LCM(1495,1510) = 451490

Least Common Multiple (LCM) of 1495 and 1510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1495 and 1510. First we will calculate the prime factors of 1495 and 1510.

Prime Factorization of 1495

Prime factors of 1495 are 5, 13, 23. Prime factorization of 1495 in exponential form is:

1495 = 51 × 131 × 231

Prime Factorization of 1510

Prime factors of 1510 are 2, 5, 151. Prime factorization of 1510 in exponential form is:

1510 = 21 × 51 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1495 and 1510.

LCM(1495,1510) = 51 × 131 × 231 × 21 × 1511
LCM(1495,1510) = 451490