What is the Least Common Multiple of 37505 and 37520?

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 37505 and 37520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37505 and 37520, than apply into the LCM equation.

GCF(37505,37520) = 5
LCM(37505,37520) = ( 37505 × 37520) / 5
LCM(37505,37520) = 1407187600 / 5
LCM(37505,37520) = 281437520

Least Common Multiple (LCM) of 37505 and 37520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37505 and 37520. First we will calculate the prime factors of 37505 and 37520.

Prime Factorization of 37505

Prime Factorization of 37520

Now multiplying the highest exponent prime factors to calculate the LCM of 37505 and 37520.

LCM(37505,37520) = 5¹ × 13¹ × 577¹ × 2⁴ × 7¹ × 67¹
LCM(37505,37520) = 281437520