What is the Least Common Multiple of 61205 and 61210?

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 61205 and 61210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61205 and 61210, than apply into the LCM equation.

GCF(61205,61210) = 5
LCM(61205,61210) = ( 61205 × 61210) / 5
LCM(61205,61210) = 3746358050 / 5
LCM(61205,61210) = 749271610

Least Common Multiple (LCM) of 61205 and 61210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61205 and 61210. First we will calculate the prime factors of 61205 and 61210.

Prime Factorization of 61205

Prime Factorization of 61210

Now multiplying the highest exponent prime factors to calculate the LCM of 61205 and 61210.

LCM(61205,61210) = 5¹ × 12241¹ × 2¹ × 6121¹
LCM(61205,61210) = 749271610