What is the Least Common Multiple of 95494 and 95504?

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 95494 and 95504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95494 and 95504, than apply into the LCM equation.

GCF(95494,95504) = 2
LCM(95494,95504) = ( 95494 × 95504) / 2
LCM(95494,95504) = 9120058976 / 2
LCM(95494,95504) = 4560029488

Least Common Multiple (LCM) of 95494 and 95504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95494 and 95504. First we will calculate the prime factors of 95494 and 95504.

Prime Factorization of 95494

Prime Factorization of 95504

Now multiplying the highest exponent prime factors to calculate the LCM of 95494 and 95504.

LCM(95494,95504) = 2⁴ × 7¹ × 19¹ × 359¹ × 47¹ × 127¹
LCM(95494,95504) = 4560029488