What is the Least Common Multiple of 74430 and 74448?

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 74430 and 74448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74430 and 74448, than apply into the LCM equation.

GCF(74430,74448) = 18
LCM(74430,74448) = ( 74430 × 74448) / 18
LCM(74430,74448) = 5541164640 / 18
LCM(74430,74448) = 307842480

Least Common Multiple (LCM) of 74430 and 74448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74430 and 74448. First we will calculate the prime factors of 74430 and 74448.

Prime Factorization of 74430

Prime Factorization of 74448

Now multiplying the highest exponent prime factors to calculate the LCM of 74430 and 74448.

LCM(74430,74448) = 2⁴ × 3² × 5¹ × 827¹ × 11¹ × 47¹
LCM(74430,74448) = 307842480