What is the Least Common Multiple of 74228 and 74240?

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 74228 and 74240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74228 and 74240, than apply into the LCM equation.

GCF(74228,74240) = 4
LCM(74228,74240) = ( 74228 × 74240) / 4
LCM(74228,74240) = 5510686720 / 4
LCM(74228,74240) = 1377671680

Least Common Multiple (LCM) of 74228 and 74240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74228 and 74240. First we will calculate the prime factors of 74228 and 74240.

Prime Factorization of 74228

Prime Factorization of 74240

Now multiplying the highest exponent prime factors to calculate the LCM of 74228 and 74240.

LCM(74228,74240) = 2⁹ × 7¹ × 11¹ × 241¹ × 5¹ × 29¹
LCM(74228,74240) = 1377671680