What is the Least Common Multiple of 70515 and 70527?

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 70515 and 70527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70515 and 70527, than apply into the LCM equation.

GCF(70515,70527) = 3
LCM(70515,70527) = ( 70515 × 70527) / 3
LCM(70515,70527) = 4973211405 / 3
LCM(70515,70527) = 1657737135

Least Common Multiple (LCM) of 70515 and 70527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70515 and 70527. First we will calculate the prime factors of 70515 and 70527.

Prime Factorization of 70515

Prime Factorization of 70527

Now multiplying the highest exponent prime factors to calculate the LCM of 70515 and 70527.

LCM(70515,70527) = 3² × 5¹ × 1567¹ × 23509¹
LCM(70515,70527) = 1657737135