What is the Least Common Multiple of 37345 and 37354?

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 37345 and 37354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37345 and 37354, than apply into the LCM equation.

GCF(37345,37354) = 1
LCM(37345,37354) = ( 37345 × 37354) / 1
LCM(37345,37354) = 1394985130 / 1
LCM(37345,37354) = 1394985130

Least Common Multiple (LCM) of 37345 and 37354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37345 and 37354. First we will calculate the prime factors of 37345 and 37354.

Prime Factorization of 37345

Prime Factorization of 37354

Now multiplying the highest exponent prime factors to calculate the LCM of 37345 and 37354.

LCM(37345,37354) = 5¹ × 7¹ × 11¹ × 97¹ × 2¹ × 19¹ × 983¹
LCM(37345,37354) = 1394985130