What is the Least Common Multiple of 70344 and 70355?

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 70355 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 70355, than apply into the LCM equation.

GCF(70344,70355) = 1
LCM(70344,70355) = ( 70344 × 70355) / 1
LCM(70344,70355) = 4949052120 / 1
LCM(70344,70355) = 4949052120

Least Common Multiple (LCM) of 70344 and 70355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70344 and 70355. First we will calculate the prime factors of 70344 and 70355.

Prime Factorization of 70344

Prime Factorization of 70355

Now multiplying the highest exponent prime factors to calculate the LCM of 70344 and 70355.

LCM(70344,70355) = 2³ × 3² × 977¹ × 5¹ × 14071¹
LCM(70344,70355) = 4949052120