What is the Least Common Multiple of 90119 and 90133?

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 90119 and 90133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90119 and 90133, than apply into the LCM equation.

GCF(90119,90133) = 1
LCM(90119,90133) = ( 90119 × 90133) / 1
LCM(90119,90133) = 8122695827 / 1
LCM(90119,90133) = 8122695827

Least Common Multiple (LCM) of 90119 and 90133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90119 and 90133. First we will calculate the prime factors of 90119 and 90133.

Prime Factorization of 90119

Prime Factorization of 90133

Now multiplying the highest exponent prime factors to calculate the LCM of 90119 and 90133.

LCM(90119,90133) = 227¹ × 397¹ × 173¹ × 521¹
LCM(90119,90133) = 8122695827