What is the Least Common Multiple of 64610 and 64630?

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 64610 and 64630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64610 and 64630, than apply into the LCM equation.

GCF(64610,64630) = 10
LCM(64610,64630) = ( 64610 × 64630) / 10
LCM(64610,64630) = 4175744300 / 10
LCM(64610,64630) = 417574430

Least Common Multiple (LCM) of 64610 and 64630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64610 and 64630. First we will calculate the prime factors of 64610 and 64630.

Prime Factorization of 64610

Prime Factorization of 64630

Now multiplying the highest exponent prime factors to calculate the LCM of 64610 and 64630.

LCM(64610,64630) = 2¹ × 5¹ × 7¹ × 13¹ × 71¹ × 23¹ × 281¹
LCM(64610,64630) = 417574430