What is the Least Common Multiple of 95492 and 95510?

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 95492 and 95510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95492 and 95510, than apply into the LCM equation.

GCF(95492,95510) = 2
LCM(95492,95510) = ( 95492 × 95510) / 2
LCM(95492,95510) = 9120440920 / 2
LCM(95492,95510) = 4560220460

Least Common Multiple (LCM) of 95492 and 95510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95492 and 95510. First we will calculate the prime factors of 95492 and 95510.

Prime Factorization of 95492

Prime Factorization of 95510

Now multiplying the highest exponent prime factors to calculate the LCM of 95492 and 95510.

LCM(95492,95510) = 2² × 23873¹ × 5¹ × 9551¹
LCM(95492,95510) = 4560220460