What is the Least Common Multiple of 47540 and 47545?

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 47540 and 47545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47540 and 47545, than apply into the LCM equation.

GCF(47540,47545) = 5
LCM(47540,47545) = ( 47540 × 47545) / 5
LCM(47540,47545) = 2260289300 / 5
LCM(47540,47545) = 452057860

Least Common Multiple (LCM) of 47540 and 47545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47540 and 47545. First we will calculate the prime factors of 47540 and 47545.

Prime Factorization of 47540

Prime Factorization of 47545

Now multiplying the highest exponent prime factors to calculate the LCM of 47540 and 47545.

LCM(47540,47545) = 2² × 5¹ × 2377¹ × 37¹ × 257¹
LCM(47540,47545) = 452057860