What is the Least Common Multiple of 91041 and 91048?

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 91041 and 91048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91041 and 91048, than apply into the LCM equation.

GCF(91041,91048) = 1
LCM(91041,91048) = ( 91041 × 91048) / 1
LCM(91041,91048) = 8289100968 / 1
LCM(91041,91048) = 8289100968

Least Common Multiple (LCM) of 91041 and 91048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91041 and 91048. First we will calculate the prime factors of 91041 and 91048.

Prime Factorization of 91041

Prime Factorization of 91048

Now multiplying the highest exponent prime factors to calculate the LCM of 91041 and 91048.

LCM(91041,91048) = 3¹ × 30347¹ × 2³ × 19¹ × 599¹
LCM(91041,91048) = 8289100968