What is the Least Common Multiple of 74176 and 74188?

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 74176 and 74188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74176 and 74188, than apply into the LCM equation.

GCF(74176,74188) = 4
LCM(74176,74188) = ( 74176 × 74188) / 4
LCM(74176,74188) = 5502969088 / 4
LCM(74176,74188) = 1375742272

Least Common Multiple (LCM) of 74176 and 74188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74176 and 74188. First we will calculate the prime factors of 74176 and 74188.

Prime Factorization of 74176

Prime Factorization of 74188

Now multiplying the highest exponent prime factors to calculate the LCM of 74176 and 74188.

LCM(74176,74188) = 2⁶ × 19¹ × 61¹ × 17¹ × 1091¹
LCM(74176,74188) = 1375742272