What is the Least Common Multiple of 37478 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 37478 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 37478 and 37485, than apply into the LCM equation.

GCF(37478,37485) = 7
LCM(37478,37485) = ( 37478 × 37485) / 7
LCM(37478,37485) = 1404862830 / 7
LCM(37478,37485) = 200694690

Least Common Multiple (LCM) of 37478 and 37485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37478 and 37485. First we will calculate the prime factors of 37478 and 37485.

Prime Factorization of 37478

Prime Factorization of 37485

Now multiplying the highest exponent prime factors to calculate the LCM of 37478 and 37485.

LCM(37478,37485) = 2¹ × 7² × 2677¹ × 3² × 5¹ × 17¹
LCM(37478,37485) = 200694690