What is the Least Common Multiple of 95417 and 95434?

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 95417 and 95434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95417 and 95434, than apply into the LCM equation.

GCF(95417,95434) = 1
LCM(95417,95434) = ( 95417 × 95434) / 1
LCM(95417,95434) = 9106025978 / 1
LCM(95417,95434) = 9106025978

Least Common Multiple (LCM) of 95417 and 95434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95417 and 95434. First we will calculate the prime factors of 95417 and 95434.

Prime Factorization of 95417

Prime Factorization of 95434

Now multiplying the highest exponent prime factors to calculate the LCM of 95417 and 95434.

LCM(95417,95434) = 7¹ × 43¹ × 317¹ × 2¹ × 47717¹
LCM(95417,95434) = 9106025978