What is the Least Common Multiple of 91904 and 91922?

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 91904 and 91922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91904 and 91922, than apply into the LCM equation.

GCF(91904,91922) = 2
LCM(91904,91922) = ( 91904 × 91922) / 2
LCM(91904,91922) = 8447999488 / 2
LCM(91904,91922) = 4223999744

Least Common Multiple (LCM) of 91904 and 91922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91904 and 91922. First we will calculate the prime factors of 91904 and 91922.

Prime Factorization of 91904

Prime Factorization of 91922

Now multiplying the highest exponent prime factors to calculate the LCM of 91904 and 91922.

LCM(91904,91922) = 2⁸ × 359¹ × 19¹ × 41¹ × 59¹
LCM(91904,91922) = 4223999744