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What is the Least Common Multiple of 1701 and 1715?

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 1701 and 1715 is 416745.

LCM(1701,1715) = 416745

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Least Common Multiple of 1701 and 1715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1701 and 1715, than apply into the LCM equation.

GCF(1701,1715) = 7
LCM(1701,1715) = ( 1701 × 1715) / 7
LCM(1701,1715) = 2917215 / 7
LCM(1701,1715) = 416745

Least Common Multiple (LCM) of 1701 and 1715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1701 and 1715. First we will calculate the prime factors of 1701 and 1715.

Prime Factorization of 1701

Prime factors of 1701 are 3, 7. Prime factorization of 1701 in exponential form is:

1701 = 35 × 71

Prime Factorization of 1715

Prime factors of 1715 are 5, 7. Prime factorization of 1715 in exponential form is:

1715 = 51 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 1701 and 1715.

LCM(1701,1715) = 35 × 73 × 51
LCM(1701,1715) = 416745