What is the Least Common Multiple of 3560 and 3570?

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 3560 and 3570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3560 and 3570, than apply into the LCM equation.

GCF(3560,3570) = 10
LCM(3560,3570) = ( 3560 × 3570) / 10
LCM(3560,3570) = 12709200 / 10
LCM(3560,3570) = 1270920

Least Common Multiple (LCM) of 3560 and 3570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3560 and 3570. First we will calculate the prime factors of 3560 and 3570.

Prime Factorization of 3560

Prime Factorization of 3570

Now multiplying the highest exponent prime factors to calculate the LCM of 3560 and 3570.

LCM(3560,3570) = 2³ × 5¹ × 89¹ × 3¹ × 7¹ × 17¹
LCM(3560,3570) = 1270920