What is the Least Common Multiple of 70408 and 70424?

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 70408 and 70424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70408 and 70424, than apply into the LCM equation.

GCF(70408,70424) = 8
LCM(70408,70424) = ( 70408 × 70424) / 8
LCM(70408,70424) = 4958412992 / 8
LCM(70408,70424) = 619801624

Least Common Multiple (LCM) of 70408 and 70424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70408 and 70424. First we will calculate the prime factors of 70408 and 70424.

Prime Factorization of 70408

Prime Factorization of 70424

Now multiplying the highest exponent prime factors to calculate the LCM of 70408 and 70424.

LCM(70408,70424) = 2³ × 13¹ × 677¹ × 8803¹
LCM(70408,70424) = 619801624