What is the Least Common Multiple of 70438 and 70458?

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 70438 and 70458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70438 and 70458, than apply into the LCM equation.

GCF(70438,70458) = 2
LCM(70438,70458) = ( 70438 × 70458) / 2
LCM(70438,70458) = 4962920604 / 2
LCM(70438,70458) = 2481460302

Least Common Multiple (LCM) of 70438 and 70458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70438 and 70458. First we will calculate the prime factors of 70438 and 70458.

Prime Factorization of 70438

Prime Factorization of 70458

Now multiplying the highest exponent prime factors to calculate the LCM of 70438 and 70458.

LCM(70438,70458) = 2¹ × 41¹ × 859¹ × 3¹ × 11743¹
LCM(70438,70458) = 2481460302