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What is the Least Common Multiple of 1556 and 1570?

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 1556 and 1570 is 1221460.

LCM(1556,1570) = 1221460

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Least Common Multiple of 1556 and 1570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1556 and 1570, than apply into the LCM equation.

GCF(1556,1570) = 2
LCM(1556,1570) = ( 1556 × 1570) / 2
LCM(1556,1570) = 2442920 / 2
LCM(1556,1570) = 1221460

Least Common Multiple (LCM) of 1556 and 1570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1556 and 1570. First we will calculate the prime factors of 1556 and 1570.

Prime Factorization of 1556

Prime factors of 1556 are 2, 389. Prime factorization of 1556 in exponential form is:

1556 = 22 × 3891

Prime Factorization of 1570

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

1570 = 21 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1556 and 1570.

LCM(1556,1570) = 22 × 3891 × 51 × 1571
LCM(1556,1570) = 1221460