What is the Least Common Multiple of 90849 and 90864?

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 90849 and 90864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90849 and 90864, than apply into the LCM equation.

GCF(90849,90864) = 3
LCM(90849,90864) = ( 90849 × 90864) / 3
LCM(90849,90864) = 8254903536 / 3
LCM(90849,90864) = 2751634512

Least Common Multiple (LCM) of 90849 and 90864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90849 and 90864. First we will calculate the prime factors of 90849 and 90864.

Prime Factorization of 90849

Prime Factorization of 90864

Now multiplying the highest exponent prime factors to calculate the LCM of 90849 and 90864.

LCM(90849,90864) = 3² × 11¹ × 2753¹ × 2⁴ × 631¹
LCM(90849,90864) = 2751634512