What is the Least Common Multiple of 91345 and 91350?

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 91345 and 91350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91345 and 91350, than apply into the LCM equation.

GCF(91345,91350) = 5
LCM(91345,91350) = ( 91345 × 91350) / 5
LCM(91345,91350) = 8344365750 / 5
LCM(91345,91350) = 1668873150

Least Common Multiple (LCM) of 91345 and 91350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91345 and 91350. First we will calculate the prime factors of 91345 and 91350.

Prime Factorization of 91345

Prime Factorization of 91350

Now multiplying the highest exponent prime factors to calculate the LCM of 91345 and 91350.

LCM(91345,91350) = 5² × 18269¹ × 2¹ × 3² × 7¹ × 29¹
LCM(91345,91350) = 1668873150