What is the Least Common Multiple of 64965 and 64980?

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 64965 and 64980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64965 and 64980, than apply into the LCM equation.

GCF(64965,64980) = 15
LCM(64965,64980) = ( 64965 × 64980) / 15
LCM(64965,64980) = 4221425700 / 15
LCM(64965,64980) = 281428380

Least Common Multiple (LCM) of 64965 and 64980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64965 and 64980. First we will calculate the prime factors of 64965 and 64980.

Prime Factorization of 64965

Prime Factorization of 64980

Now multiplying the highest exponent prime factors to calculate the LCM of 64965 and 64980.

LCM(64965,64980) = 3² × 5¹ × 61¹ × 71¹ × 2² × 19²
LCM(64965,64980) = 281428380