What is the Least Common Multiple of 95205 and 95223?

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 95205 and 95223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95205 and 95223, than apply into the LCM equation.

GCF(95205,95223) = 3
LCM(95205,95223) = ( 95205 × 95223) / 3
LCM(95205,95223) = 9065705715 / 3
LCM(95205,95223) = 3021901905

Least Common Multiple (LCM) of 95205 and 95223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95205 and 95223. First we will calculate the prime factors of 95205 and 95223.

Prime Factorization of 95205

Prime Factorization of 95223

Now multiplying the highest exponent prime factors to calculate the LCM of 95205 and 95223.

LCM(95205,95223) = 3¹ × 5¹ × 11¹ × 577¹ × 31741¹
LCM(95205,95223) = 3021901905