What is the Least Common Multiple of 37560 and 37565?

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 37560 and 37565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37560 and 37565, than apply into the LCM equation.

GCF(37560,37565) = 5
LCM(37560,37565) = ( 37560 × 37565) / 5
LCM(37560,37565) = 1410941400 / 5
LCM(37560,37565) = 282188280

Least Common Multiple (LCM) of 37560 and 37565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37560 and 37565. First we will calculate the prime factors of 37560 and 37565.

Prime Factorization of 37560

Prime Factorization of 37565

Now multiplying the highest exponent prime factors to calculate the LCM of 37560 and 37565.

LCM(37560,37565) = 2³ × 3¹ × 5¹ × 313¹ × 11¹ × 683¹
LCM(37560,37565) = 282188280