What is the Least Common Multiple of 70920 and 70935?

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 70920 and 70935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70920 and 70935, than apply into the LCM equation.

GCF(70920,70935) = 15
LCM(70920,70935) = ( 70920 × 70935) / 15
LCM(70920,70935) = 5030710200 / 15
LCM(70920,70935) = 335380680

Least Common Multiple (LCM) of 70920 and 70935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70920 and 70935. First we will calculate the prime factors of 70920 and 70935.

Prime Factorization of 70920

Prime Factorization of 70935

Now multiplying the highest exponent prime factors to calculate the LCM of 70920 and 70935.

LCM(70920,70935) = 2³ × 3² × 5¹ × 197¹ × 4729¹
LCM(70920,70935) = 335380680