What is the Least Common Multiple of 35400 and 35416?

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 35400 and 35416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35400 and 35416, than apply into the LCM equation.

GCF(35400,35416) = 8
LCM(35400,35416) = ( 35400 × 35416) / 8
LCM(35400,35416) = 1253726400 / 8
LCM(35400,35416) = 156715800

Least Common Multiple (LCM) of 35400 and 35416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35400 and 35416. First we will calculate the prime factors of 35400 and 35416.

Prime Factorization of 35400

Prime Factorization of 35416

Now multiplying the highest exponent prime factors to calculate the LCM of 35400 and 35416.

LCM(35400,35416) = 2³ × 3¹ × 5² × 59¹ × 19¹ × 233¹
LCM(35400,35416) = 156715800