What is the Least Common Multiple of 70920 and 70934?

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 70934 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 70934, than apply into the LCM equation.

GCF(70920,70934) = 2
LCM(70920,70934) = ( 70920 × 70934) / 2
LCM(70920,70934) = 5030639280 / 2
LCM(70920,70934) = 2515319640

Least Common Multiple (LCM) of 70920 and 70934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70920 and 70934. First we will calculate the prime factors of 70920 and 70934.

Prime Factorization of 70920

Prime Factorization of 70934

Now multiplying the highest exponent prime factors to calculate the LCM of 70920 and 70934.

LCM(70920,70934) = 2³ × 3² × 5¹ × 197¹ × 29¹ × 1223¹
LCM(70920,70934) = 2515319640