What is the Least Common Multiple of 91904 and 91921?

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 91921 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 91921, than apply into the LCM equation.

GCF(91904,91921) = 1
LCM(91904,91921) = ( 91904 × 91921) / 1
LCM(91904,91921) = 8447907584 / 1
LCM(91904,91921) = 8447907584

Least Common Multiple (LCM) of 91904 and 91921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91904 and 91921. First we will calculate the prime factors of 91904 and 91921.

Prime Factorization of 91904

Prime Factorization of 91921

Now multiplying the highest exponent prime factors to calculate the LCM of 91904 and 91921.

LCM(91904,91921) = 2⁸ × 359¹ × 91921¹
LCM(91904,91921) = 8447907584