What is the Least Common Multiple of 61210 and 61224?

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 61224 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 61224, than apply into the LCM equation.

GCF(61210,61224) = 2
LCM(61210,61224) = ( 61210 × 61224) / 2
LCM(61210,61224) = 3747521040 / 2
LCM(61210,61224) = 1873760520

Least Common Multiple (LCM) of 61210 and 61224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61210 and 61224. First we will calculate the prime factors of 61210 and 61224.

Prime Factorization of 61210

Prime Factorization of 61224

Now multiplying the highest exponent prime factors to calculate the LCM of 61210 and 61224.

LCM(61210,61224) = 2³ × 5¹ × 6121¹ × 3¹ × 2551¹
LCM(61210,61224) = 1873760520