What is the Least Common Multiple of 89521 and 89525?

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 89521 and 89525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89521 and 89525, than apply into the LCM equation.

GCF(89521,89525) = 1
LCM(89521,89525) = ( 89521 × 89525) / 1
LCM(89521,89525) = 8014367525 / 1
LCM(89521,89525) = 8014367525

Least Common Multiple (LCM) of 89521 and 89525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89521 and 89525. First we will calculate the prime factors of 89521 and 89525.

Prime Factorization of 89521

Prime Factorization of 89525

Now multiplying the highest exponent prime factors to calculate the LCM of 89521 and 89525.

LCM(89521,89525) = 89521¹ × 5² × 3581¹
LCM(89521,89525) = 8014367525