What is the Least Common Multiple of 35420 and 35432?

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 35420 and 35432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35420 and 35432, than apply into the LCM equation.

GCF(35420,35432) = 4
LCM(35420,35432) = ( 35420 × 35432) / 4
LCM(35420,35432) = 1255001440 / 4
LCM(35420,35432) = 313750360

Least Common Multiple (LCM) of 35420 and 35432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35420 and 35432. First we will calculate the prime factors of 35420 and 35432.

Prime Factorization of 35420

Prime Factorization of 35432

Now multiplying the highest exponent prime factors to calculate the LCM of 35420 and 35432.

LCM(35420,35432) = 2³ × 5¹ × 7¹ × 11¹ × 23¹ × 43¹ × 103¹
LCM(35420,35432) = 313750360