What is the Least Common Multiple of 74096 and 74100?

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 74096 and 74100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74096 and 74100, than apply into the LCM equation.

GCF(74096,74100) = 4
LCM(74096,74100) = ( 74096 × 74100) / 4
LCM(74096,74100) = 5490513600 / 4
LCM(74096,74100) = 1372628400

Least Common Multiple (LCM) of 74096 and 74100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74096 and 74100. First we will calculate the prime factors of 74096 and 74100.

Prime Factorization of 74096

Prime Factorization of 74100

Now multiplying the highest exponent prime factors to calculate the LCM of 74096 and 74100.

LCM(74096,74100) = 2⁴ × 11¹ × 421¹ × 3¹ × 5² × 13¹ × 19¹
LCM(74096,74100) = 1372628400