What is the Least Common Multiple of 61210 and 61223?

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 61210 and 61223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61210 and 61223, than apply into the LCM equation.

GCF(61210,61223) = 1
LCM(61210,61223) = ( 61210 × 61223) / 1
LCM(61210,61223) = 3747459830 / 1
LCM(61210,61223) = 3747459830

Least Common Multiple (LCM) of 61210 and 61223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61210 and 61223. First we will calculate the prime factors of 61210 and 61223.

Prime Factorization of 61210

Prime Factorization of 61223

Now multiplying the highest exponent prime factors to calculate the LCM of 61210 and 61223.

LCM(61210,61223) = 2¹ × 5¹ × 6121¹ × 61223¹
LCM(61210,61223) = 3747459830