What is the Least Common Multiple of 95240 and 95260?

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 95240 and 95260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95240 and 95260, than apply into the LCM equation.

GCF(95240,95260) = 20
LCM(95240,95260) = ( 95240 × 95260) / 20
LCM(95240,95260) = 9072562400 / 20
LCM(95240,95260) = 453628120

Least Common Multiple (LCM) of 95240 and 95260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95240 and 95260. First we will calculate the prime factors of 95240 and 95260.

Prime Factorization of 95240

Prime Factorization of 95260

Now multiplying the highest exponent prime factors to calculate the LCM of 95240 and 95260.

LCM(95240,95260) = 2³ × 5¹ × 2381¹ × 11¹ × 433¹
LCM(95240,95260) = 453628120