What is the Least Common Multiple of 10560 and 10570?

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 10560 and 10570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10560 and 10570, than apply into the LCM equation.

GCF(10560,10570) = 10
LCM(10560,10570) = ( 10560 × 10570) / 10
LCM(10560,10570) = 111619200 / 10
LCM(10560,10570) = 11161920

Least Common Multiple (LCM) of 10560 and 10570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10560 and 10570. First we will calculate the prime factors of 10560 and 10570.

Prime Factorization of 10560

Prime Factorization of 10570

Now multiplying the highest exponent prime factors to calculate the LCM of 10560 and 10570.

LCM(10560,10570) = 2⁶ × 3¹ × 5¹ × 11¹ × 7¹ × 151¹
LCM(10560,10570) = 11161920