What is the Least Common Multiple of 84708 and 84724?

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 84708 and 84724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84708 and 84724, than apply into the LCM equation.

GCF(84708,84724) = 4
LCM(84708,84724) = ( 84708 × 84724) / 4
LCM(84708,84724) = 7176800592 / 4
LCM(84708,84724) = 1794200148

Least Common Multiple (LCM) of 84708 and 84724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84708 and 84724. First we will calculate the prime factors of 84708 and 84724.

Prime Factorization of 84708

Prime Factorization of 84724

Now multiplying the highest exponent prime factors to calculate the LCM of 84708 and 84724.

LCM(84708,84724) = 2² × 3² × 13¹ × 181¹ × 59¹ × 359¹
LCM(84708,84724) = 1794200148