What is the Least Common Multiple of 89640 and 89652?

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 89640 and 89652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89640 and 89652, than apply into the LCM equation.

GCF(89640,89652) = 12
LCM(89640,89652) = ( 89640 × 89652) / 12
LCM(89640,89652) = 8036405280 / 12
LCM(89640,89652) = 669700440

Least Common Multiple (LCM) of 89640 and 89652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89640 and 89652. First we will calculate the prime factors of 89640 and 89652.

Prime Factorization of 89640

Prime Factorization of 89652

Now multiplying the highest exponent prime factors to calculate the LCM of 89640 and 89652.

LCM(89640,89652) = 2³ × 3³ × 5¹ × 83¹ × 31¹ × 241¹
LCM(89640,89652) = 669700440