What is the Least Common Multiple of 70993 and 71006?

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 70993 and 71006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70993 and 71006, than apply into the LCM equation.

GCF(70993,71006) = 13
LCM(70993,71006) = ( 70993 × 71006) / 13
LCM(70993,71006) = 5040928958 / 13
LCM(70993,71006) = 387763766

Least Common Multiple (LCM) of 70993 and 71006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70993 and 71006. First we will calculate the prime factors of 70993 and 71006.

Prime Factorization of 70993

Prime Factorization of 71006

Now multiplying the highest exponent prime factors to calculate the LCM of 70993 and 71006.

LCM(70993,71006) = 13¹ × 43¹ × 127¹ × 2¹ × 2731¹
LCM(70993,71006) = 387763766