What is the Least Common Multiple of 70160 and 70169?

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 70160 and 70169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70160 and 70169, than apply into the LCM equation.

GCF(70160,70169) = 1
LCM(70160,70169) = ( 70160 × 70169) / 1
LCM(70160,70169) = 4923057040 / 1
LCM(70160,70169) = 4923057040

Least Common Multiple (LCM) of 70160 and 70169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70160 and 70169. First we will calculate the prime factors of 70160 and 70169.

Prime Factorization of 70160

Prime Factorization of 70169

Now multiplying the highest exponent prime factors to calculate the LCM of 70160 and 70169.

LCM(70160,70169) = 2⁴ × 5¹ × 877¹ × 11¹ × 6379¹
LCM(70160,70169) = 4923057040