What is the Least Common Multiple of 70440 and 70448?

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 70440 and 70448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70440 and 70448, than apply into the LCM equation.

GCF(70440,70448) = 8
LCM(70440,70448) = ( 70440 × 70448) / 8
LCM(70440,70448) = 4962357120 / 8
LCM(70440,70448) = 620294640

Least Common Multiple (LCM) of 70440 and 70448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70440 and 70448. First we will calculate the prime factors of 70440 and 70448.

Prime Factorization of 70440

Prime Factorization of 70448

Now multiplying the highest exponent prime factors to calculate the LCM of 70440 and 70448.

LCM(70440,70448) = 2⁴ × 3¹ × 5¹ × 587¹ × 7¹ × 17¹ × 37¹
LCM(70440,70448) = 620294640