What is the Least Common Multiple of 47960 and 47965?

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 47960 and 47965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47960 and 47965, than apply into the LCM equation.

GCF(47960,47965) = 5
LCM(47960,47965) = ( 47960 × 47965) / 5
LCM(47960,47965) = 2300401400 / 5
LCM(47960,47965) = 460080280

Least Common Multiple (LCM) of 47960 and 47965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47960 and 47965. First we will calculate the prime factors of 47960 and 47965.

Prime Factorization of 47960

Prime Factorization of 47965

Now multiplying the highest exponent prime factors to calculate the LCM of 47960 and 47965.

LCM(47960,47965) = 2³ × 5¹ × 11¹ × 109¹ × 53¹ × 181¹
LCM(47960,47965) = 460080280