What is the Least Common Multiple of 40515 and 40535?

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 40515 and 40535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40515 and 40535, than apply into the LCM equation.

GCF(40515,40535) = 5
LCM(40515,40535) = ( 40515 × 40535) / 5
LCM(40515,40535) = 1642275525 / 5
LCM(40515,40535) = 328455105

Least Common Multiple (LCM) of 40515 and 40535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40515 and 40535. First we will calculate the prime factors of 40515 and 40535.

Prime Factorization of 40515

Prime Factorization of 40535

Now multiplying the highest exponent prime factors to calculate the LCM of 40515 and 40535.

LCM(40515,40535) = 3¹ × 5¹ × 37¹ × 73¹ × 11² × 67¹
LCM(40515,40535) = 328455105