What is the Least Common Multiple of 70906 and 70920?

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 70906 and 70920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70906 and 70920, than apply into the LCM equation.

GCF(70906,70920) = 2
LCM(70906,70920) = ( 70906 × 70920) / 2
LCM(70906,70920) = 5028653520 / 2
LCM(70906,70920) = 2514326760

Least Common Multiple (LCM) of 70906 and 70920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70906 and 70920. First we will calculate the prime factors of 70906 and 70920.

Prime Factorization of 70906

Prime Factorization of 70920

Now multiplying the highest exponent prime factors to calculate the LCM of 70906 and 70920.

LCM(70906,70920) = 2³ × 11² × 293¹ × 3² × 5¹ × 197¹
LCM(70906,70920) = 2514326760