What is the Least Common Multiple of 68430 and 68448?

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 68430 and 68448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68430 and 68448, than apply into the LCM equation.

GCF(68430,68448) = 6
LCM(68430,68448) = ( 68430 × 68448) / 6
LCM(68430,68448) = 4683896640 / 6
LCM(68430,68448) = 780649440

Least Common Multiple (LCM) of 68430 and 68448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68430 and 68448. First we will calculate the prime factors of 68430 and 68448.

Prime Factorization of 68430

Prime Factorization of 68448

Now multiplying the highest exponent prime factors to calculate the LCM of 68430 and 68448.

LCM(68430,68448) = 2⁵ × 3¹ × 5¹ × 2281¹ × 23¹ × 31¹
LCM(68430,68448) = 780649440