What is the Least Common Multiple of 35040 and 35051?

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 35051 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 35051, than apply into the LCM equation.

GCF(35040,35051) = 1
LCM(35040,35051) = ( 35040 × 35051) / 1
LCM(35040,35051) = 1228187040 / 1
LCM(35040,35051) = 1228187040

Least Common Multiple (LCM) of 35040 and 35051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35040 and 35051. First we will calculate the prime factors of 35040 and 35051.

Prime Factorization of 35040

Prime Factorization of 35051

Now multiplying the highest exponent prime factors to calculate the LCM of 35040 and 35051.

LCM(35040,35051) = 2⁵ × 3¹ × 5¹ × 73¹ × 35051¹
LCM(35040,35051) = 1228187040