What is the Least Common Multiple of 70515 and 70535?

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 70535 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 70535, than apply into the LCM equation.

GCF(70515,70535) = 5
LCM(70515,70535) = ( 70515 × 70535) / 5
LCM(70515,70535) = 4973775525 / 5
LCM(70515,70535) = 994755105

Least Common Multiple (LCM) of 70515 and 70535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70515 and 70535. First we will calculate the prime factors of 70515 and 70535.

Prime Factorization of 70515

Prime Factorization of 70535

Now multiplying the highest exponent prime factors to calculate the LCM of 70515 and 70535.

LCM(70515,70535) = 3² × 5¹ × 1567¹ × 14107¹
LCM(70515,70535) = 994755105