What is the Least Common Multiple of 70408 and 70419?

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 70408 and 70419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70408 and 70419, than apply into the LCM equation.

GCF(70408,70419) = 1
LCM(70408,70419) = ( 70408 × 70419) / 1
LCM(70408,70419) = 4958060952 / 1
LCM(70408,70419) = 4958060952

Least Common Multiple (LCM) of 70408 and 70419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70408 and 70419. First we will calculate the prime factors of 70408 and 70419.

Prime Factorization of 70408

Prime Factorization of 70419

Now multiplying the highest exponent prime factors to calculate the LCM of 70408 and 70419.

LCM(70408,70419) = 2³ × 13¹ × 677¹ × 3¹ × 23473¹
LCM(70408,70419) = 4958060952