What is the Least Common Multiple of 89514 and 89533?

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 89514 and 89533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89514 and 89533, than apply into the LCM equation.

GCF(89514,89533) = 1
LCM(89514,89533) = ( 89514 × 89533) / 1
LCM(89514,89533) = 8014456962 / 1
LCM(89514,89533) = 8014456962

Least Common Multiple (LCM) of 89514 and 89533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89514 and 89533. First we will calculate the prime factors of 89514 and 89533.

Prime Factorization of 89514

Prime Factorization of 89533

Now multiplying the highest exponent prime factors to calculate the LCM of 89514 and 89533.

LCM(89514,89533) = 2¹ × 3² × 4973¹ × 89533¹
LCM(89514,89533) = 8014456962