What is the Least Common Multiple of 70664 and 70669?

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 70664 and 70669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70664 and 70669, than apply into the LCM equation.

GCF(70664,70669) = 1
LCM(70664,70669) = ( 70664 × 70669) / 1
LCM(70664,70669) = 4993754216 / 1
LCM(70664,70669) = 4993754216

Least Common Multiple (LCM) of 70664 and 70669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70664 and 70669. First we will calculate the prime factors of 70664 and 70669.

Prime Factorization of 70664

Prime Factorization of 70669

Now multiplying the highest exponent prime factors to calculate the LCM of 70664 and 70669.

LCM(70664,70669) = 2³ × 11² × 73¹ × 17¹ × 4157¹
LCM(70664,70669) = 4993754216