What is the Least Common Multiple of 70336 and 70354?

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 70336 and 70354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70336 and 70354, than apply into the LCM equation.

GCF(70336,70354) = 2
LCM(70336,70354) = ( 70336 × 70354) / 2
LCM(70336,70354) = 4948418944 / 2
LCM(70336,70354) = 2474209472

Least Common Multiple (LCM) of 70336 and 70354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70336 and 70354. First we will calculate the prime factors of 70336 and 70354.

Prime Factorization of 70336

Prime Factorization of 70354

Now multiplying the highest exponent prime factors to calculate the LCM of 70336 and 70354.

LCM(70336,70354) = 2⁶ × 7¹ × 157¹ × 29¹ × 1213¹
LCM(70336,70354) = 2474209472