What is the Least Common Multiple of 70428 and 70438?

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 70428 and 70438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70428 and 70438, than apply into the LCM equation.

GCF(70428,70438) = 2
LCM(70428,70438) = ( 70428 × 70438) / 2
LCM(70428,70438) = 4960807464 / 2
LCM(70428,70438) = 2480403732

Least Common Multiple (LCM) of 70428 and 70438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70428 and 70438. First we will calculate the prime factors of 70428 and 70438.

Prime Factorization of 70428

Prime Factorization of 70438

Now multiplying the highest exponent prime factors to calculate the LCM of 70428 and 70438.

LCM(70428,70438) = 2² × 3¹ × 5869¹ × 41¹ × 859¹
LCM(70428,70438) = 2480403732