What is the Least Common Multiple of 84700 and 84711?

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 84700 and 84711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84700 and 84711, than apply into the LCM equation.

GCF(84700,84711) = 11
LCM(84700,84711) = ( 84700 × 84711) / 11
LCM(84700,84711) = 7175021700 / 11
LCM(84700,84711) = 652274700

Least Common Multiple (LCM) of 84700 and 84711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84700 and 84711. First we will calculate the prime factors of 84700 and 84711.

Prime Factorization of 84700

Prime Factorization of 84711

Now multiplying the highest exponent prime factors to calculate the LCM of 84700 and 84711.

LCM(84700,84711) = 2² × 5² × 7¹ × 11² × 3¹ × 17¹ × 151¹
LCM(84700,84711) = 652274700