What is the Least Common Multiple of 3570 and 3587?

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 3570 and 3587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3570 and 3587, than apply into the LCM equation.

GCF(3570,3587) = 17
LCM(3570,3587) = ( 3570 × 3587) / 17
LCM(3570,3587) = 12805590 / 17
LCM(3570,3587) = 753270

Least Common Multiple (LCM) of 3570 and 3587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3587. First we will calculate the prime factors of 3570 and 3587.

Prime Factorization of 3570

Prime Factorization of 3587

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3587.

LCM(3570,3587) = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 211¹
LCM(3570,3587) = 753270