What is the Least Common Multiple of 96640 and 96652?

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 96640 and 96652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96640 and 96652, than apply into the LCM equation.

GCF(96640,96652) = 4
LCM(96640,96652) = ( 96640 × 96652) / 4
LCM(96640,96652) = 9340449280 / 4
LCM(96640,96652) = 2335112320

Least Common Multiple (LCM) of 96640 and 96652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96640 and 96652. First we will calculate the prime factors of 96640 and 96652.

Prime Factorization of 96640

Prime Factorization of 96652

Now multiplying the highest exponent prime factors to calculate the LCM of 96640 and 96652.

LCM(96640,96652) = 2⁷ × 5¹ × 151¹ × 73¹ × 331¹
LCM(96640,96652) = 2335112320