What is the Least Common Multiple of 70400 and 70414?

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 70400 and 70414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70400 and 70414, than apply into the LCM equation.

GCF(70400,70414) = 2
LCM(70400,70414) = ( 70400 × 70414) / 2
LCM(70400,70414) = 4957145600 / 2
LCM(70400,70414) = 2478572800

Least Common Multiple (LCM) of 70400 and 70414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70400 and 70414. First we will calculate the prime factors of 70400 and 70414.

Prime Factorization of 70400

Prime Factorization of 70414

Now multiplying the highest exponent prime factors to calculate the LCM of 70400 and 70414.

LCM(70400,70414) = 2⁸ × 5² × 11¹ × 17¹ × 19¹ × 109¹
LCM(70400,70414) = 2478572800