What is the Least Common Multiple of 91805 and 91820?

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 91805 and 91820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91805 and 91820, than apply into the LCM equation.

GCF(91805,91820) = 5
LCM(91805,91820) = ( 91805 × 91820) / 5
LCM(91805,91820) = 8429535100 / 5
LCM(91805,91820) = 1685907020

Least Common Multiple (LCM) of 91805 and 91820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91805 and 91820. First we will calculate the prime factors of 91805 and 91820.

Prime Factorization of 91805

Prime Factorization of 91820

Now multiplying the highest exponent prime factors to calculate the LCM of 91805 and 91820.

LCM(91805,91820) = 5¹ × 7¹ × 43¹ × 61¹ × 2² × 4591¹
LCM(91805,91820) = 1685907020