What is the Least Common Multiple of 37465 and 37485?

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 37465 and 37485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37465 and 37485, than apply into the LCM equation.

GCF(37465,37485) = 5
LCM(37465,37485) = ( 37465 × 37485) / 5
LCM(37465,37485) = 1404375525 / 5
LCM(37465,37485) = 280875105

Least Common Multiple (LCM) of 37465 and 37485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37465 and 37485. First we will calculate the prime factors of 37465 and 37485.

Prime Factorization of 37465

Prime Factorization of 37485

Now multiplying the highest exponent prime factors to calculate the LCM of 37465 and 37485.

LCM(37465,37485) = 5¹ × 59¹ × 127¹ × 3² × 7² × 17¹
LCM(37465,37485) = 280875105