What is the Least Common Multiple of 70976 and 70993?

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 70976 and 70993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70976 and 70993, than apply into the LCM equation.

GCF(70976,70993) = 1
LCM(70976,70993) = ( 70976 × 70993) / 1
LCM(70976,70993) = 5038799168 / 1
LCM(70976,70993) = 5038799168

Least Common Multiple (LCM) of 70976 and 70993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70976 and 70993. First we will calculate the prime factors of 70976 and 70993.

Prime Factorization of 70976

Prime Factorization of 70993

Now multiplying the highest exponent prime factors to calculate the LCM of 70976 and 70993.

LCM(70976,70993) = 2⁶ × 1109¹ × 13¹ × 43¹ × 127¹
LCM(70976,70993) = 5038799168