What is the Least Common Multiple of 70344 and 70350?

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 70344 and 70350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70344 and 70350, than apply into the LCM equation.

GCF(70344,70350) = 6
LCM(70344,70350) = ( 70344 × 70350) / 6
LCM(70344,70350) = 4948700400 / 6
LCM(70344,70350) = 824783400

Least Common Multiple (LCM) of 70344 and 70350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70344 and 70350. First we will calculate the prime factors of 70344 and 70350.

Prime Factorization of 70344

Prime Factorization of 70350

Now multiplying the highest exponent prime factors to calculate the LCM of 70344 and 70350.

LCM(70344,70350) = 2³ × 3² × 977¹ × 5² × 7¹ × 67¹
LCM(70344,70350) = 824783400