What is the Least Common Multiple of 1564 and 1572?

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 of 1564 and 1572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1564 and 1572, than apply into the LCM equation.

GCF(1564,1572) = 4
LCM(1564,1572) = ( 1564 × 1572) / 4
LCM(1564,1572) = 2458608 / 4
LCM(1564,1572) = 614652

Least Common Multiple (LCM) of 1564 and 1572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1564 and 1572. First we will calculate the prime factors of 1564 and 1572.

Prime Factorization of 1564

Prime Factorization of 1572

Now multiplying the highest exponent prime factors to calculate the LCM of 1564 and 1572.

LCM(1564,1572) = 2² × 17¹ × 23¹ × 3¹ × 131¹
LCM(1564,1572) = 614652