What is the Least Common Multiple of 27960 and 27965?

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 27960 and 27965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27960 and 27965, than apply into the LCM equation.

GCF(27960,27965) = 5
LCM(27960,27965) = ( 27960 × 27965) / 5
LCM(27960,27965) = 781901400 / 5
LCM(27960,27965) = 156380280

Least Common Multiple (LCM) of 27960 and 27965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27960 and 27965. First we will calculate the prime factors of 27960 and 27965.

Prime Factorization of 27960

Prime Factorization of 27965

Now multiplying the highest exponent prime factors to calculate the LCM of 27960 and 27965.

LCM(27960,27965) = 2³ × 3¹ × 5¹ × 233¹ × 7¹ × 17¹ × 47¹
LCM(27960,27965) = 156380280