What is the Least Common Multiple of 90354 and 90362?

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 90354 and 90362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90354 and 90362, than apply into the LCM equation.

GCF(90354,90362) = 2
LCM(90354,90362) = ( 90354 × 90362) / 2
LCM(90354,90362) = 8164568148 / 2
LCM(90354,90362) = 4082284074

Least Common Multiple (LCM) of 90354 and 90362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90354 and 90362. First we will calculate the prime factors of 90354 and 90362.

Prime Factorization of 90354

Prime Factorization of 90362

Now multiplying the highest exponent prime factors to calculate the LCM of 90354 and 90362.

LCM(90354,90362) = 2¹ × 3¹ × 11¹ × 37² × 45181¹
LCM(90354,90362) = 4082284074