What is the Least Common Multiple of 35115 and 35121?

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 35115 and 35121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35115 and 35121, than apply into the LCM equation.

GCF(35115,35121) = 3
LCM(35115,35121) = ( 35115 × 35121) / 3
LCM(35115,35121) = 1233273915 / 3
LCM(35115,35121) = 411091305

Least Common Multiple (LCM) of 35115 and 35121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35115 and 35121. First we will calculate the prime factors of 35115 and 35121.

Prime Factorization of 35115

Prime Factorization of 35121

Now multiplying the highest exponent prime factors to calculate the LCM of 35115 and 35121.

LCM(35115,35121) = 3¹ × 5¹ × 2341¹ × 23¹ × 509¹
LCM(35115,35121) = 411091305