What is the Least Common Multiple of 90320 and 90334?

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 90320 and 90334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90320 and 90334, than apply into the LCM equation.

GCF(90320,90334) = 2
LCM(90320,90334) = ( 90320 × 90334) / 2
LCM(90320,90334) = 8158966880 / 2
LCM(90320,90334) = 4079483440

Least Common Multiple (LCM) of 90320 and 90334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90320 and 90334. First we will calculate the prime factors of 90320 and 90334.

Prime Factorization of 90320

Prime Factorization of 90334

Now multiplying the highest exponent prime factors to calculate the LCM of 90320 and 90334.

LCM(90320,90334) = 2⁴ × 5¹ × 1129¹ × 31² × 47¹
LCM(90320,90334) = 4079483440