What is the Least Common Multiple of 95435 and 95450?

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 95435 and 95450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95435 and 95450, than apply into the LCM equation.

GCF(95435,95450) = 5
LCM(95435,95450) = ( 95435 × 95450) / 5
LCM(95435,95450) = 9109270750 / 5
LCM(95435,95450) = 1821854150

Least Common Multiple (LCM) of 95435 and 95450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95435 and 95450. First we will calculate the prime factors of 95435 and 95450.

Prime Factorization of 95435

Prime Factorization of 95450

Now multiplying the highest exponent prime factors to calculate the LCM of 95435 and 95450.

LCM(95435,95450) = 5² × 19087¹ × 2¹ × 23¹ × 83¹
LCM(95435,95450) = 1821854150