What is the Least Common Multiple of 37408 and 37413?

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 37408 and 37413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37408 and 37413, than apply into the LCM equation.

GCF(37408,37413) = 1
LCM(37408,37413) = ( 37408 × 37413) / 1
LCM(37408,37413) = 1399545504 / 1
LCM(37408,37413) = 1399545504

Least Common Multiple (LCM) of 37408 and 37413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37408 and 37413. First we will calculate the prime factors of 37408 and 37413.

Prime Factorization of 37408

Prime Factorization of 37413

Now multiplying the highest exponent prime factors to calculate the LCM of 37408 and 37413.

LCM(37408,37413) = 2⁵ × 7¹ × 167¹ × 3² × 4157¹
LCM(37408,37413) = 1399545504