What is the Least Common Multiple of 90516 and 90525?

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 90516 and 90525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90516 and 90525, than apply into the LCM equation.

GCF(90516,90525) = 3
LCM(90516,90525) = ( 90516 × 90525) / 3
LCM(90516,90525) = 8193960900 / 3
LCM(90516,90525) = 2731320300

Least Common Multiple (LCM) of 90516 and 90525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90516 and 90525. First we will calculate the prime factors of 90516 and 90525.

Prime Factorization of 90516

Prime Factorization of 90525

Now multiplying the highest exponent prime factors to calculate the LCM of 90516 and 90525.

LCM(90516,90525) = 2² × 3¹ × 19¹ × 397¹ × 5² × 17¹ × 71¹
LCM(90516,90525) = 2731320300