What is the Least Common Multiple of 32210 and 32230?

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 32210 and 32230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32210 and 32230, than apply into the LCM equation.

GCF(32210,32230) = 10
LCM(32210,32230) = ( 32210 × 32230) / 10
LCM(32210,32230) = 1038128300 / 10
LCM(32210,32230) = 103812830

Least Common Multiple (LCM) of 32210 and 32230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32210 and 32230. First we will calculate the prime factors of 32210 and 32230.

Prime Factorization of 32210

Prime Factorization of 32230

Now multiplying the highest exponent prime factors to calculate the LCM of 32210 and 32230.

LCM(32210,32230) = 2¹ × 5¹ × 3221¹ × 11¹ × 293¹
LCM(32210,32230) = 103812830