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What is the Least Common Multiple of 1570 and 1583?

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 1570 and 1583 is 2485310.

LCM(1570,1583) = 2485310

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Least Common Multiple of 1570 and 1583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1570 and 1583, than apply into the LCM equation.

GCF(1570,1583) = 1
LCM(1570,1583) = ( 1570 × 1583) / 1
LCM(1570,1583) = 2485310 / 1
LCM(1570,1583) = 2485310

Least Common Multiple (LCM) of 1570 and 1583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1570 and 1583. First we will calculate the prime factors of 1570 and 1583.

Prime Factorization of 1570

Prime factors of 1570 are 2, 5, 157. Prime factorization of 1570 in exponential form is:

1570 = 21 × 51 × 1571

Prime Factorization of 1583

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 1570 and 1583.

LCM(1570,1583) = 21 × 51 × 1571 × 15831
LCM(1570,1583) = 2485310