What is the Least Common Multiple of 23445 and 23450?

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 23445 and 23450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23445 and 23450, than apply into the LCM equation.

GCF(23445,23450) = 5
LCM(23445,23450) = ( 23445 × 23450) / 5
LCM(23445,23450) = 549785250 / 5
LCM(23445,23450) = 109957050

Least Common Multiple (LCM) of 23445 and 23450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23445 and 23450. First we will calculate the prime factors of 23445 and 23450.

Prime Factorization of 23445

Prime Factorization of 23450

Now multiplying the highest exponent prime factors to calculate the LCM of 23445 and 23450.

LCM(23445,23450) = 3² × 5² × 521¹ × 2¹ × 7¹ × 67¹
LCM(23445,23450) = 109957050