What is the Least Common Multiple of 74100 and 74112?

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 74100 and 74112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74100 and 74112, than apply into the LCM equation.

GCF(74100,74112) = 12
LCM(74100,74112) = ( 74100 × 74112) / 12
LCM(74100,74112) = 5491699200 / 12
LCM(74100,74112) = 457641600

Least Common Multiple (LCM) of 74100 and 74112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74100 and 74112. First we will calculate the prime factors of 74100 and 74112.

Prime Factorization of 74100

Prime Factorization of 74112

Now multiplying the highest exponent prime factors to calculate the LCM of 74100 and 74112.

LCM(74100,74112) = 2⁷ × 3¹ × 5² × 13¹ × 19¹ × 193¹
LCM(74100,74112) = 457641600