What is the Least Common Multiple of 64830 and 64845?

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 64830 and 64845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64830 and 64845, than apply into the LCM equation.

GCF(64830,64845) = 15
LCM(64830,64845) = ( 64830 × 64845) / 15
LCM(64830,64845) = 4203901350 / 15
LCM(64830,64845) = 280260090

Least Common Multiple (LCM) of 64830 and 64845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64830 and 64845. First we will calculate the prime factors of 64830 and 64845.

Prime Factorization of 64830

Prime Factorization of 64845

Now multiplying the highest exponent prime factors to calculate the LCM of 64830 and 64845.

LCM(64830,64845) = 2¹ × 3² × 5¹ × 2161¹ × 11¹ × 131¹
LCM(64830,64845) = 280260090