What is the Least Common Multiple of 429 and 448?

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 429 and 448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 448, than apply into the LCM equation.

GCF(429,448) = 1
LCM(429,448) = ( 429 × 448) / 1
LCM(429,448) = 192192 / 1
LCM(429,448) = 192192

Least Common Multiple (LCM) of 429 and 448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 448. First we will calculate the prime factors of 429 and 448.

Prime Factorization of 429

Prime Factorization of 448

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 448.

LCM(429,448) = 3¹ × 11¹ × 13¹ × 2⁶ × 7¹
LCM(429,448) = 192192