What is the Least Common Multiple of 67210 and 67223?

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 67210 and 67223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67210 and 67223, than apply into the LCM equation.

GCF(67210,67223) = 13
LCM(67210,67223) = ( 67210 × 67223) / 13
LCM(67210,67223) = 4518057830 / 13
LCM(67210,67223) = 347542910

Least Common Multiple (LCM) of 67210 and 67223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67210 and 67223. First we will calculate the prime factors of 67210 and 67223.

Prime Factorization of 67210

Prime Factorization of 67223

Now multiplying the highest exponent prime factors to calculate the LCM of 67210 and 67223.

LCM(67210,67223) = 2¹ × 5¹ × 11¹ × 13¹ × 47¹ × 5171¹
LCM(67210,67223) = 347542910