What is the Least Common Multiple of 35040 and 35044?

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 35040 and 35044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35040 and 35044, than apply into the LCM equation.

GCF(35040,35044) = 4
LCM(35040,35044) = ( 35040 × 35044) / 4
LCM(35040,35044) = 1227941760 / 4
LCM(35040,35044) = 306985440

Least Common Multiple (LCM) of 35040 and 35044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35040 and 35044. First we will calculate the prime factors of 35040 and 35044.

Prime Factorization of 35040

Prime Factorization of 35044

Now multiplying the highest exponent prime factors to calculate the LCM of 35040 and 35044.

LCM(35040,35044) = 2⁵ × 3¹ × 5¹ × 73¹ × 8761¹
LCM(35040,35044) = 306985440