What is the Least Common Multiple of 89526 and 89535?

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 89526 and 89535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89526 and 89535, than apply into the LCM equation.

GCF(89526,89535) = 3
LCM(89526,89535) = ( 89526 × 89535) / 3
LCM(89526,89535) = 8015710410 / 3
LCM(89526,89535) = 2671903470

Least Common Multiple (LCM) of 89526 and 89535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89526 and 89535. First we will calculate the prime factors of 89526 and 89535.

Prime Factorization of 89526

Prime Factorization of 89535

Now multiplying the highest exponent prime factors to calculate the LCM of 89526 and 89535.

LCM(89526,89535) = 2¹ × 3¹ × 43¹ × 347¹ × 5¹ × 47¹ × 127¹
LCM(89526,89535) = 2671903470