What is the Least Common Multiple of 37378 and 37390?

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 37378 and 37390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37378 and 37390, than apply into the LCM equation.

GCF(37378,37390) = 2
LCM(37378,37390) = ( 37378 × 37390) / 2
LCM(37378,37390) = 1397563420 / 2
LCM(37378,37390) = 698781710

Least Common Multiple (LCM) of 37378 and 37390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37378 and 37390. First we will calculate the prime factors of 37378 and 37390.

Prime Factorization of 37378

Prime Factorization of 37390

Now multiplying the highest exponent prime factors to calculate the LCM of 37378 and 37390.

LCM(37378,37390) = 2¹ × 11¹ × 1699¹ × 5¹ × 3739¹
LCM(37378,37390) = 698781710