What is the Least Common Multiple of 29960 and 29965?

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 29960 and 29965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29960 and 29965, than apply into the LCM equation.

GCF(29960,29965) = 5
LCM(29960,29965) = ( 29960 × 29965) / 5
LCM(29960,29965) = 897751400 / 5
LCM(29960,29965) = 179550280

Least Common Multiple (LCM) of 29960 and 29965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29960 and 29965. First we will calculate the prime factors of 29960 and 29965.

Prime Factorization of 29960

Prime Factorization of 29965

Now multiplying the highest exponent prime factors to calculate the LCM of 29960 and 29965.

LCM(29960,29965) = 2³ × 5¹ × 7¹ × 107¹ × 13¹ × 461¹
LCM(29960,29965) = 179550280