What is the Least Common Multiple of 74240 and 74258?

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 74240 and 74258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74240 and 74258, than apply into the LCM equation.

GCF(74240,74258) = 2
LCM(74240,74258) = ( 74240 × 74258) / 2
LCM(74240,74258) = 5512913920 / 2
LCM(74240,74258) = 2756456960

Least Common Multiple (LCM) of 74240 and 74258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74240 and 74258. First we will calculate the prime factors of 74240 and 74258.

Prime Factorization of 74240

Prime Factorization of 74258

Now multiplying the highest exponent prime factors to calculate the LCM of 74240 and 74258.

LCM(74240,74258) = 2⁹ × 5¹ × 29¹ × 107¹ × 347¹
LCM(74240,74258) = 2756456960