What is the Least Common Multiple of 70404 and 70416?

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 70404 and 70416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70404 and 70416, than apply into the LCM equation.

GCF(70404,70416) = 12
LCM(70404,70416) = ( 70404 × 70416) / 12
LCM(70404,70416) = 4957568064 / 12
LCM(70404,70416) = 413130672

Least Common Multiple (LCM) of 70404 and 70416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70404 and 70416. First we will calculate the prime factors of 70404 and 70416.

Prime Factorization of 70404

Prime Factorization of 70416

Now multiplying the highest exponent prime factors to calculate the LCM of 70404 and 70416.

LCM(70404,70416) = 2⁴ × 3³ × 5867¹ × 163¹
LCM(70404,70416) = 413130672