What is the Least Common Multiple of 70996 and 71016?

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 70996 and 71016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70996 and 71016, than apply into the LCM equation.

GCF(70996,71016) = 4
LCM(70996,71016) = ( 70996 × 71016) / 4
LCM(70996,71016) = 5041851936 / 4
LCM(70996,71016) = 1260462984

Least Common Multiple (LCM) of 70996 and 71016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70996 and 71016. First we will calculate the prime factors of 70996 and 71016.

Prime Factorization of 70996

Prime Factorization of 71016

Now multiplying the highest exponent prime factors to calculate the LCM of 70996 and 71016.

LCM(70996,71016) = 2³ × 17749¹ × 3¹ × 11¹ × 269¹
LCM(70996,71016) = 1260462984