What is the Least Common Multiple of 32610 and 32630?

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 32610 and 32630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32610 and 32630, than apply into the LCM equation.

GCF(32610,32630) = 10
LCM(32610,32630) = ( 32610 × 32630) / 10
LCM(32610,32630) = 1064064300 / 10
LCM(32610,32630) = 106406430

Least Common Multiple (LCM) of 32610 and 32630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32610 and 32630. First we will calculate the prime factors of 32610 and 32630.

Prime Factorization of 32610

Prime Factorization of 32630

Now multiplying the highest exponent prime factors to calculate the LCM of 32610 and 32630.

LCM(32610,32630) = 2¹ × 3¹ × 5¹ × 1087¹ × 13¹ × 251¹
LCM(32610,32630) = 106406430