What is the Least Common Multiple of 95540 and 95560?

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 95540 and 95560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95540 and 95560, than apply into the LCM equation.

GCF(95540,95560) = 20
LCM(95540,95560) = ( 95540 × 95560) / 20
LCM(95540,95560) = 9129802400 / 20
LCM(95540,95560) = 456490120

Least Common Multiple (LCM) of 95540 and 95560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95540 and 95560. First we will calculate the prime factors of 95540 and 95560.

Prime Factorization of 95540

Prime Factorization of 95560

Now multiplying the highest exponent prime factors to calculate the LCM of 95540 and 95560.

LCM(95540,95560) = 2³ × 5¹ × 17¹ × 281¹ × 2389¹
LCM(95540,95560) = 456490120