What is the Least Common Multiple of 91841 and 91845?

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 91841 and 91845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91841 and 91845, than apply into the LCM equation.

GCF(91841,91845) = 1
LCM(91841,91845) = ( 91841 × 91845) / 1
LCM(91841,91845) = 8435136645 / 1
LCM(91841,91845) = 8435136645

Least Common Multiple (LCM) of 91841 and 91845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91841 and 91845. First we will calculate the prime factors of 91841 and 91845.

Prime Factorization of 91841

Prime Factorization of 91845

Now multiplying the highest exponent prime factors to calculate the LCM of 91841 and 91845.

LCM(91841,91845) = 91841¹ × 3² × 5¹ × 13¹ × 157¹
LCM(91841,91845) = 8435136645