What is the Least Common Multiple of 37176 and 37184?

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 37176 and 37184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37176 and 37184, than apply into the LCM equation.

GCF(37176,37184) = 8
LCM(37176,37184) = ( 37176 × 37184) / 8
LCM(37176,37184) = 1382352384 / 8
LCM(37176,37184) = 172794048

Least Common Multiple (LCM) of 37176 and 37184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37176 and 37184. First we will calculate the prime factors of 37176 and 37184.

Prime Factorization of 37176

Prime Factorization of 37184

Now multiplying the highest exponent prime factors to calculate the LCM of 37176 and 37184.

LCM(37176,37184) = 2⁶ × 3¹ × 1549¹ × 7¹ × 83¹
LCM(37176,37184) = 172794048