What is the Least Common Multiple of 64590 and 64605?

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 64590 and 64605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64590 and 64605, than apply into the LCM equation.

GCF(64590,64605) = 15
LCM(64590,64605) = ( 64590 × 64605) / 15
LCM(64590,64605) = 4172836950 / 15
LCM(64590,64605) = 278189130

Least Common Multiple (LCM) of 64590 and 64605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64590 and 64605. First we will calculate the prime factors of 64590 and 64605.

Prime Factorization of 64590

Prime Factorization of 64605

Now multiplying the highest exponent prime factors to calculate the LCM of 64590 and 64605.

LCM(64590,64605) = 2¹ × 3¹ × 5¹ × 2153¹ × 59¹ × 73¹
LCM(64590,64605) = 278189130