What is the Least Common Multiple of 84945 and 84952?

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 84945 and 84952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84945 and 84952, than apply into the LCM equation.

GCF(84945,84952) = 7
LCM(84945,84952) = ( 84945 × 84952) / 7
LCM(84945,84952) = 7216247640 / 7
LCM(84945,84952) = 1030892520

Least Common Multiple (LCM) of 84945 and 84952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84945 and 84952. First we will calculate the prime factors of 84945 and 84952.

Prime Factorization of 84945

Prime Factorization of 84952

Now multiplying the highest exponent prime factors to calculate the LCM of 84945 and 84952.

LCM(84945,84952) = 3¹ × 5¹ × 7¹ × 809¹ × 2³ × 37¹ × 41¹
LCM(84945,84952) = 1030892520